3.8 Compound Linear Inequalities

Solve and graph:

• A
• B
• C
• D

-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

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: 
-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:  
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

Which compound inequality is graphed above?

• x >5 OR x< -2

• x >5 OR x> -2

• x< 5 AND x> -2

• x ≥5 AND x< -2

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

Which inequality represents the graph shown?

• $3\le x<5$

• $3\le x<5$

• $x\le3\ \ \ or\ \ \ x>5$

• $x<3\ \ \ or\ \ \ x\ge5$

What word or phrase best describes the graph of an AND inequality?

• separate

• between

• not between

• annoying

Tags

CCSS.HSA.REI.D.12