7.EE.4.a

Inequalities

100

=

equal

200

<

less than

300

>

Greater than

400

Inequality pointing to the left with line under it

less than or equal to

500

inequality pointing to the right with a line under it

greater than

First Step

100

2x + 7 < 6

subtract 7

200

3 - 4x = 2

subtract 3

300

11 - 4x = -4

subtract 11

400

- x - (-5) < 3

subtract 5

500

-(4x - 10) > 12

subtract 10

Second Step

100

2x - 6 = 7

divide by 2

200

5 - 6x < 3

Divide by -6

300

2 + 4x > 8

divide by 4

400

-x - 7 = 9

divide by -1

500

-(5x + 4) = 7

divide by -5 or distribute the negative

Graph

100

x < 8

open circle above 8 line to the left

200

x > -2

open circle above -2 line to right

300

-3 < x

open circle above -3 line going to the right

400

-x > -5

ask teacher

500

5 < -x

ask teacher

Solve

100

2x + 4 = -2

x = -3

200

-2 + 4x < 14

x < 4

300

11 - 2x = 5

x = 3

400

-2x - 4 < 8

x > -6

500

3 > -3x -3

-2 < x