Solving and Graphing Inequalities

Graph the inequality

Multiply both sides by a constant

Isolate the variable using inverse operations

Add a constant to both sides

Divide by -6

Subtract 15

Add 15

Multiply by -6

To ensure the inequality remains true

To make the inequality easier to solve

To simplify the equation

To change the direction of the graph

With a filled circle at -2 and an arrow to the left

With a filled circle at -2 and an arrow to the right

With an open circle at -2 and an arrow to the left

With an open circle at -2 and an arrow to the right

-3

0

2

-1

Divide by 4

Add 8

Subtract 8

Multiply by 4

n ≥ 36

n < 36

n ≤ 36

n > 36

With an open circle at 36 and an arrow to the left

With a filled circle at 36 and an arrow to the right

With an open circle at 36 and an arrow to the right

With a filled circle at 36 and an arrow to the left

34

36

35

37

Subtract 4

Multiply by 4

Add 4

Divide by 4