Solving Equations and Graphing Inequalities on a Number Line

Solve for k in the following inequality and choose the best answer to match the graph: 2k - 9 ≤ -19

• The graph would have a closed circle shaded left at -5.

• The graph would have a closed circle shaded left of 5.

• The graph would have an open circle shaded left of -5.

• The graph would have an open circle shaded left of 5.

When solving the following inequality, what is the FIRST step you would do? -4x + 8 > -15

• Add 8 to both sides of the inequality.

• Divide by negative four on both sides of the inequality.

• Subtract negative eight to both sides of the inequality.

• Subtract eight to both sides of the inequality.

Solve the following inequality and choose the best answer: 4x - 8 < -16

• The graph would be an open circle shading right of 2

• The graph would have a closed circle shading left of -2

• The graph would have an open circled shading left of -2

• The graph would have a closed circle shading right of 2

What is the solution to this inequality?

• x > −18

• x > 9

• x > 21

• x > −42

Which graph matches the inequality
r ≥ -6?

• A

• B

• C

• D

Match this number line

to its correct solution.

• x > -2

• x > -2

• x < -2

• x < -2

Which graph matches the inequality
r ≥ -6?

• A

• B

• C

• D

Match this number line

to its correct solution.

• x > 2

• x > 2

• x < 2

• x < 2

Match this number line to its correct solution.

• x > -2

• x < -2

• x > -2

• x < -2

Match this number line

to its correct solution.

• x > 1

• x > 1

• x < 1

• x < 1