Inequalities and Negative Numbers

When do you "flip the inequalities sign"?

• When you add or subtract a negative

• When it's a 1-step problem

• When you multiply or divide a negative

• When it's a 2-step problem

2x > 12

• x > 6

• x < 6

• x ≥ 6

• x ≤ 6

-3x ≤ 18

• x ≤ -6

• x ≤ 6

• x ≥ 6

• x ≥ -6

Solve 3x + 7 < 22

• x < -29/3

• x < -5

• x < 29/3

• x < 5

Solve 5x + 9 > 34

• x > -5

• x > 5

• x < -5

• x < 5

Solve -2x - 3 ≤ 13

• x ≥ 8

• x ≥ -8

• x ≤ 8

• x ≤ -8

When do you use a closed circle on a graph for an inequality?

• When it is ≥ or ≤

• When it is > or <

• When the number in front of the variable is negative

• When it is only =

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11

Match the graph with its inequality.

• b > –2
• b < –2
• b ≥ –2
• b ≤ –2

Which graph would match the inequality

-6x - 4 > -40

• A

• B

• C

• D