solving compound inequalities (and)

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

−6 < 2t − 5 < 3

• −0.5 < t < 1

• 0.5 < t < −1

• −11/2 < t < 2

• 11/2 < t < −2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

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

• flip; dividing

• ignore; multiplying and dividing

• flip; multiplying

• flip; multiplying and dividing

Tags

CCSS.6.EE.B.8

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

Write an inequality for Graph 2.

• -2 ≤ x < 5
• x ≤ -2 AND x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x ≤ 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Solve:  -3 ≤ 2x - 1 ≤ 5

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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.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

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

• Yes 
• No 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3