Solving and Graphing Compound Inequalities

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.CED.A.1

CCSS.HSA.REI.B.3

• A
• B
• C
• D

Tags

CCSS.HSA.CED.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.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

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.REI.B.3

CCSS.HSA.REI.D.12

Solve:  
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:  -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

Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21? 

• yes
• no 

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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

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