solving compound inequalities

Solve the following compound inequality:

−4x + 1 ≤ 21 and 5x + 2 < 22

• x > −5 or x ≤ 4

• x ≥ −5 or x < 4

• x > −5 and x ≤ 4

• x ≥ −5 and x < 4

Solve the following compound inequality:

−4x + 1 ≤ 21 and 5x + 2 < 22

• x > −5 or x ≤ 4

• x ≥ −5 or x < 4

• x > −5 and x ≤ 4

• x ≥ −5 and x < 4

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:

0 < x + 7 < 9

• −7 < x and x < 2

• −7 < x or x < 2

• −7 > x and x > 2

• −7 > x or x > 2

What inequality is graphed?

• x > 2 and x ≤ −3

• x > 2 and x < −3

• x > 2 or x ≤ −3

• x > 2 or x < −3

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

Could x = 3 be solution to the inequality 
6 < x + 5 ≤ 11? 

• Yes 
• No 

Tags

CCSS.6.EE.B.5

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3
• -1 < x < 3
• 1 < x < 3
• 1 ≤ x ≤ 3

Solve: 
-4x + 1 ≤ 21 and 5x + 2 < 22

• x > -5 or x ≤ 4
• x ≥ -5 or x < 4
• x > -5 and x ≤ 4
• x ≥ -5 and x < 4

When do you change the sign when solving a compound inequality?

• You don't change the sign.

• When multiplying or dividing by a negative number.

• When adding or subtracting by a negative number.

• When multiplying or dividing by a positive number.