Practice Solving Inequalities

What inequality does the number line graph represent?

• x ≤ 4

• x ≥ -4

• x < -4

• x < 4

What inequality does the number line graph represent?

• x ≥ 3

• x > 3

• x < -3

• x ≤ -3

What inequality does the number line graph represent?

• x > 5

• x < −5

• x ≥ 5

• x ≥ −5

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

Solve the following inequality:

3x + 2 < −4 or 4x + 4 > 24

• x < −2 or x > 5

• x < 2 or x > 5

• x < −2 and x > 5

• x < 2 and x > 5

Solve the following compound inequality:

3x − 4 < −13 or 7x + 1 > 22

• All Real numbers

• x > 3 and x > −9

• The answer is not listed

• x < −3 or x > 3

Solving the following for "t"

Hint: AND work from the Inside -OUT

−6 < 2t − 5 < 3

• −0.5 < t < 4

• 0.5 < t < −1

• −11/2 < t < 2

• 11/2 < t < −2

When solving inequalities you must _________________ the inequality when ____________________ by a negative.

• flip; dividing

• ignore; multiplying and dividing

• flip; multiplying

• flip; multiplying and dividing

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

• x < -2 

• x > -2

• x < 2

• x > 2