Honors Algebra 2: Review Solving all Inequalities

x + 8 < 3 or - 8x < -40 

• x > -5 or x < 5
• x < -5 and x > 5
• x < -5 or x > 5 
• x > -5 and x < 5 

|6n| ≤ 18

• 9>n<7
• -3 ≤ n ≤ 3
• -2≤ n≤ 8
• -7>n≤ -7

|b-8|+10>22

• -4<b<20
• b<-4 or b>20
• 20<b<-4
• b=-4 or b=20

-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

Solve:

• A
• B
• C
• D

Solve.

|x + 4| < 5

• x < -9 or x > 1

• -9 < x < 1

• x < 9 or x > -1

• -1 < x < 9

Solve.
|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12
• -4 ≤ y ≤ -12
• y ≤ 4 or y ≥ -12
• -12 ≤ x ≤ 4

• v>5 or v<-5
• v≥5 or v≤-5
• v>-5 or v<5
• all real numbers

Solve the following inequality:

−5|x − 4| > −20

• x < 8 and x > 0

• x > 8 or x < 0

• all real numbers

• no solution

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers