Solving Inequalities

> or <

100

Solve the inequality. Give the solution in interval notation.

-2x+18>36

(-∞,-9)

200

Solve the inequality. Give the solution in interval notation.

-3x-8<-7

(-5,∞)

300

Solve the inequality. Give the solution in interval notation.

8x-3x+2<2(x+7)

(-∞,4)

400

Solve the inequality. Give the solution in interval notation.

-11> -3x+1> -17

(4,6)

500

Solve the inequality. Give the solution in interval notation.

-5< (x-4)/3 <1

(-11,7)

≥ or ≤

100

Solve the inequality. Give the solution in interval notation.

-5x+8<= 20

[-12/5,∞)

200

Solve the inequality. Give the solution in interval notation.

-4x+3>=-2+x

(-∞,1]

300

Solve the inequality. Give the solution in interval notation.

-4x+5(x-1)<-6x+10

(-∞,15/7)

400

Solve the inequality. Give the solution in interval notation.

(4x+7)/-3<=2x+5

[-11/5,∞)

500

Solve the inequality. Give the solution in interval notation.

1<=(4x-5)/-2<=9

[-13/4,3/4]

Absolute Value Equations

100

Solve the following equation.

|4x+2|=5

{-7/4,3/4}

200

Solve the following equation.

|7-3x|=3

{4/3,10/3}

300

Solve the following equation.

|(x+2)/2|=7

{-16,12}

400

Solve the following equation.

|8x+5|=0

{-5/8}

500

Solve the following equation.

|4.3x+9.8|=0

{-9.8/4.3}

Absolute Value Inequalities

100

Solve the inequality. Give the solution in interval notation.

|3x-4|<2

(2/3,2)

200

Solve the inequality. Give the solution in interval notation.

|5-3x|<=7

[-2/3,4]

300

Solve the inequality. Give the solution in interval notation.

|5x+1/2|-2<5

(-3/2,13/10)

400

Solve the inequality. Give the solution in interval notation.

|18-3x|<-13

O/

500

Solve the inequality. Give the solution in interval notation.

|12-9x|>=-12

(-∞,∞)