Question

Solve each equation.

1. (|3x -4|)/(-5) = 6

A: no solution

2. (|2x -5|) = x + 3

A: x = 8 or x = 2/3

Solve each inequality.

3. |5x + 15| > 20

A: x > 1 and x < -7

4. [(|x - 2|)/ (4) greater than or equal to 5

A: -18 < x < 22

5. (-3) x (|5x - 8|)- 5 greater than or equal to 6

A: no solution?

6. |12 - 4x| - 4 > 20

A: x < -3 and x > 9

Answer 1

1. |3x-4}/(

2. |2x-5| = x + 3
2x-5 = x+3
X = 8.

-2x+5 = x+3
-3x = -2
X = 2/3

3. |5x+15| > 20
5x+15 > 20
5x > 20-15
X > 1

-5x-15 = > 20
-5x > 20 + 15
X < -7

Or 1 < X < -7

4. |x-2|/4 => 5
(x-2)/4 => 5
x-2 => 20
X => 22.

(-x+2)/4 => 5
-x + 2 => 20
-x => 18
X =< -18

5. (-3)*|5x-8}-5 => 6
(-3)*|5x-8| => 11
|5x-8| =< 11/-3 ? No solution.
The absolute value of a number is always positive.

6. |12-4x|-4 > 20
|12-4x| > 24
12-4x > 24
-4x > 12
X < -3

-12+4x > 20
4x > 32
X > 8 Does not satisfy the inequality.

Answer 2

1. |3x-4|/(-5) = 6
(3x-4)/(-5) = 6
3x-4 = -30
3x = -26
X = -26/3 Does not satisfy Eq.

(-3x+4)/(-5) = 6
-3x+4 = -30
-3x = -34
X = -34/-3 = 34/3 Does not satisfy Eq.