Solving Compound Inequalities (2.5)

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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

Tags

CCSS.HSA.REI.B.3

What inequality is graphed?

• x > 2 and x ≤ −3

• x > 2 and x < −3

• x > 2 or x ≤ −3

• x > 2 or x < −3

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Solve the following compound inequality:

−8 < 2(x + 4) or −3x + 4 > x − 4

• No solutions

• x < −8 or x < 2

• x > −8 or x < 2

• x < −8 and x < 2

Tags

CCSS.HSA.REI.B.3

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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

• Yes 

• No 

Tags

CCSS.6.EE.B.5

Solve 24 > -3r > -9 

• -8 < r < 3

• -8 > r > 3

• r > - 8 and r > 3 

• r > -8 or r < 3

Tags

CCSS.HSA.REI.B.3

Every day, a man needs to eat more than 1800 but less than 1900 calories. Write an inequality representing the possible amount of calories you could get.

•  1800 ≤ c ≤ 1900

• 1800 ≤ c < 1900

• 1800 < c ≤ 1900

• 1800 < c < 1900