2-2 & 2-3 Solving Inequalities using addition, subtraction, multiplication and division

Adding & Subtracting to Solve Solve the same way you would normally solve for a

variable in an equation. Examples: Write, Graph & Solve

x+12 < 20

d-5 > -7

0.9 ≥ x-0.3

Adding & Subtracting to Solve

0 Sami has a gift card. She used $14 of the total value, which was $30. Write, solve & graph an inequality to show how much more she can spend.

What If…..?

TRUE or FALSE

8 > 48 (-2) > 4(-2)

-16 > -8 TRUE or FLASE?

Multiplying/ Dividing by Negatives

8 > 48 (-2) > 4(-2)

-16 > -8 TRUE or FLASE?

Flip the Sign!!

-16 < -8TRUE or FLASE?

Multiplying/Dividing

We ONLY flip the sign if we are multiplying or dividing by a negative.

We DO NOT need to flip the sign if we are not multiplying/dividing by a negative.

Examples

1. 7x > -42

2. -12x > 84

3. ¾r < 12

4. -8 ≤ x/-3