Absolute Value Function Inequalities

What is the correct first step?

• divide by 10

• multiply by 10

• make it two inequalities with an "or"

• make it two inequalities with and "and"

Which compound inequality involves <, ≤ when solving absolute value inequalities?

• and

• or

|-9v| < 54

• -6<v<6

• v<-6 or v>6

• v=6 or v=-6

• -6>v<6

|p+4|≤ 8

• -42 ≤ p ≤ 16

• -5 ≤ p <6

• 12 > p > 9

• -12 ≤ p ≤ 4 

|b-8|+10>22

• -4<b<20

• b<-4 or b>20

• 20<b<-4

• b=-4 or b=20

|r|-3 >2

• |r|+6 <-6

• |r|-3 >2

• |r|-37≤ 2

• r>5 or r<-5

4|5x-2|+7>39

• -6/5<x>2

• x=2 or x=-6/5

• x=2 and x=-6/5

• x<-6/5 or x>2

Solve:
|x - 7| = 2x

• x = -7

• x = -7, x = 7/3

• x = 7/3

• x = -7, x = -7/3

 Solve:
|−2n| + 10 = −50

• {30, -30}

• {20,-20}

• {-5,5}

• No Solution

What is the range of this function? You can click on the image to see an enlarged view.

• All real numbers

• y > -2

• y ≥ -2

• y > 2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5