R + 3 > 4M + 6 < 10 T – 4 < 9Y – 11 ≤ 3 Two inequalities joined by the word “and” or the...

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Transcript of R + 3 > 4M + 6 < 10 T – 4 < 9Y – 11 ≤ 3 Two inequalities joined by the word “and” or the...

Page 1: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.
Page 2: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

R + 3 > 4 M + 6 < 10

T – 4 < 9 Y – 11 ≤ 3

Page 3: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Two inequalities joined by the word “and” or the word “or”.

Page 4: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Two inequalities joined by the word “and” or the word “or”.

X ≥ -5 and X ≤ 7

Page 5: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Two inequalities joined by the word “and” or the word “or”.

X ≥ -5 and X ≤ 7 Graph the two inequalities.

Page 6: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Two inequalities joined by the word “and” or the word “or”.

X ≥ -5 and X ≤ 7 Graph the two inequalities.

Page 7: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Two inequalities joined by the word “and” or the word “or”.

X ≥ -5 and X ≤ 7 Graph the two inequalities.

When the two inequalities go towards each other, they form an inclusive area.

Page 8: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Graph the compound inequalities: X ≥ 3 and X ≤ 10

Page 9: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Graph the compound inequalities: X ≥ 3 and X ≤ 10

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Page 10: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Graph the compound inequalities: X ≥ 3 and X ≤ 10

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Page 11: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Graph the compound inequalities: n > -2 and n < 4

Page 12: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Graph the compound inequalities: n > -2 and n < 4

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Page 13: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Graph the compound inequalities: n > -2 and n < 4

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Page 14: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Write a compound inequality for all real numbers that are at least -4 and at most 7.

Page 15: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Write a compound inequality. Today’s temperatures will be above 53 F, and less than 78 F.

Page 16: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

When you have two inequalities containing “and” they are inclusive.

Page 17: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

When you have two inequalities containing “and” they are inclusive.

Inclusive inequalities can be represented as this:

Page 18: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

When you have two inequalities containing “and” they are inclusive.

Inclusive inequalities can be represented as this:

Lowest number < variable < largest number

Page 19: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

When you have two inequalities containing “and” they are inclusive.

Inclusive inequalities can be represented as this:

Lowest number < variable < largest number

The inequality can change, but is open to the right.

Page 20: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

When you have two inequalities containing “and” they are inclusive.

Inclusive inequalities can be represented as this:

Lowest number < variable < largest number

The inequality can change, but is open to the right.

X < 3 and X > 1

Page 21: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

When you have two inequalities containing “and” they are inclusive.

Inclusive inequalities can be represented as this:

Lowest number < variable < largest number

The inequality can change, but is open to the right.

X < 3 and X > 1 Write as: 1 < X < 3

Page 22: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Graph the compound inequality. X ≤ 1 or X ≥ 5

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Page 23: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Graph the compound inequality. X ≤ 1 or X ≥ 5

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Page 24: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Graph the compound inequality. X ≤ 1 or X ≥ 5

When two inequalities go away from each other they form an exclusive area.

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Page 25: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Graph the compound inequality. X ≤ 12 or X ≥ 60

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Page 26: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Graph the compound inequality. X < -2 or X > 7

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Page 27: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

When two inequalities use the word “or” they form an exclusive area.

Page 28: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

When two inequalities use the word “or” they form an exclusive area.

Inequalities that form an exclusive area can be represented as:

Page 29: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

When two inequalities use the word “or” they form an exclusive area.

Inequalities that form an exclusive area can be represented as:

Lowest number > variable > Largest number

Page 30: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

When two inequalities use the word “or” they form an exclusive area.

Inequalities that form an exclusive area can be represented as:

Lowest number > variable > Largest number

The inequality can change, but it is open to the left.

Page 31: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

When two inequalities use the word “or” they form an exclusive area.

Inequalities that form an exclusive area can be represented as:

Lowest number > variable > Largest number

The inequality can change, but it is open to the left.

X < -3 or X > 7

Page 32: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

When two inequalities use the word “or” they form an exclusive area.

Inequalities that form an exclusive area can be represented as:

Lowest number > variable > Largest number

The inequality can change, but it is open to the left.

X < -3 or X > 7 Write as: -3 > X > 7

Page 33: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

If we have compound equations, treat them as two separate equations:

Page 34: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

If we have compound equations, treat them as two separate equations:

-4 < r – 5 ≤ -1

Page 35: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

If we have compound equations, treat them as two separate equations:

-4 < r – 5 ≤ -1 Treat this as: -4 < r – 5 and r – 5 ≤ -1

Page 36: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

If we have compound equations, treat them as two separate equations:

-4 < r – 5 ≤ -1 Treat this as: -4 < r – 5 and r – 5 ≤ -1

Now solve each.

Page 37: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

-3 < j + 2 < 7

Page 38: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

2 < 3n – 4 ≤ 14

Page 39: R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

Page 230 Numbers 8, 18, 28 Due before you leave.