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