7th Grade Inequalities

Translations

100

What is the symbol for more than?

>

200

What is the symbol for "less than"

<

300

What is the symbol for "no more than?"

≤

400

What is the symbol for "speed limit"?

≤

500

When do you need to flip an inequality?

When multiplying or dividing by a negative.

One-Step Inequalities

100

x + 12 < 8

x < -4

200

b - 5 ≥ -20

b ≥ -15

300

4x > 32

x > 8

400

m/3 ≤ 8

m ≤ 24

500

-2x < 26

x > -13

Multi-Step Inequalities

100

3x - 4 ≥ 14

x ≥ 6

200

x/2 - 4 < 5

x < 18

300

-4x + 6 > -22

x < 7

400

-4x-3>-15

x<3

500

9 < 7+(-x)

-2>x

Solve and Graph

100

x > 6

open circle at 6, pointing right

200

x ≤ 15

closed circle at 15, pointing left

300

x -14 < -4

x < 10, closed circle at 10, pointing left

400

-7x > 35

x < -5, open circle at -5, pointing left

500

1/2x ≥ 7

x ≥ 14, closed circle pointing right

Distribution

100

6(M+5)>36

M>1

200

4(M-2)<4

M<3

300

3(M+7)>-3

M>-8

400

-3(M-6)<42

M>-8

500

A rectangle has sides of 5 and (M+4).  The area of the rectangle is greater than 55.

M>7