Solving Compound Inequalities

Front

Solve the following compound inequality: −4x + 1 ≤ 21 and 5x + 2 < 22

Back

x ≥ −5 and x < 4

Front

Solve the following inequality: 3x + 2 < −4 or 4x + 4 > 24

Back

x < −2 or x > 5

Front

What inequality is graphed?
Options:

x > 2 and x ≤ −3

,

x > 2 and x < −3

,

x > 2 or x ≤ −3

,

x > 2 or x < −3

Back

x > 2 or x ≤ −3

Front

Solve the following compound inequality: 3x − 4 < −13 or 7x + 1 > 22

Back

x < −3 or x > 3

Front

Solve the following compound inequality: −8 < 2(x + 4) or −3x + 4 > x − 4

Back

x > −8 or x < 2

Front

Solve the inequality: -8<2(x+4) or -3x+4>x-4

Back

x<-8 or x<2

Front

−6 < 2t − 5 < 3

Back

−0.5 < t < 1

Front

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

Back

flip; multiplying and dividing

Front

Solve 24 > -3r > -9

Back

-8 < r < 3

Front

Write an inequality for Graph 2.

Back

-2 ≤ x < 5