Inequalities. Inequality - a mathematical sentence that contains, or not equal. reads as greater...
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Transcript of Inequalities. Inequality - a mathematical sentence that contains, or not equal. reads as greater...
Inequalities
Inequality - a mathematical sentence that contains <,>,<, > or not equal. reads as greater than
reads as less than
< reads as less than or equal to
> reads as greater than or equal to
≠ not equal to
Inequalities and their graphs
Inequalities and their graphs
When graphing inequalities use
o Open circle used for <, >
• Shaded circle used for >, <
Inequalities and their graphs-answers
When graphing inequalities use
o Open circle used for <, >
• Shaded circle used for >, <
Inequalities and their graphs
Inequalities and their graphs-answers
x < -7 x > -11
x < 2 x > -3
Inequalities and their graphs
Inequalities and their graphs
t < 16
h > 7
p < 25
n < 0
Solving One-Step Inequalities
Examples:
1.x + 8 > 19 2. -26 > y + 14
3. m + 3 > 6 4. -5 < x -6
5. 4 + x < -2 6. 13 + y > 13
Solving One-Step Inequalities - ans
Examples:
1.x + 8 > 19 2. -26 > y + 14
x > 11 y < -40
3. m + 3 > 6 4. -5 < x -6
m < 3 x > 1
5. 4 + x < -2 x< -6 6. 13 + y > 13 y > 0
Solving One-Step Inequalities
Examples:
1.x - 15 < 3 2. M - 13 > 29
3. V - 4 < 7 4. T - 5 > 11
5. -16 < y - 14 6. X - 9 > -11
Solving One-Step Inequalities - ans
Examples:
1.x - 15 < 3 2. M - 13 > 29
x < 18 m > 42
3. V - 4 < 7 4. T - 5 > 11
v < 11 T > 16
5. -16 < y - 14 y > -2 6. X - 9 > -11 x > -2
Solving One-Step Inequalities
by dividing and multiplying
When dividing or multiplying by a negative number you must reverse (flip) the inequality sign
Solving One-Step Inequalities
Solving One Step Inequalities - ans
X > -2 x > 4
x < 1 x > -6
x > -4 x < -18
X < -20 x > -2
Solving One-Step Inequalities
Solving One-Step Inequalities - ans
-5k < 30; k > -6
1/2 p > -7; p > -14
9k < 18; k < 2
1/3 p > -17; p> -51
-g > -5; g < 5
Solving Two-Step Inequalities
Examples:
2y - 3 < -5 5a - 9 > 11
-10 > 1/2x - 6 17 + 1/2c < 14
-9 > -1/3a + 6 -2m + 4 < 34
6 - x > 3 8.3 < (-0.5)g - 2.7
Solving Two-Step Inequalities - ans
Examples:
2y - 3 < -5 y<-1 5a - 9 > 11 a>4
-10 > 1/2x - 6 x <-8 17 + 1/2c < 14 c<-6
-9 > -1/3a + 6 x>45 -2m + 4 < 34 m>-15
6 - x > 3 x<3 8.3 < (-0.5)g - 2.7 b<-22