Question

Solve the inequality 5x>15

Answer 1

Step-by-step explanation:

STEP

1

:

Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered

|5x| > 15

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |5x|

For the Negative case we'll use -(5x)

For the Positive case we'll use (5x)

STEP

3

:

Solve the Negative Case

-(5x) > 15

Multiply

-5x > 15

Divide both sides by 5

-x > 3

Multiply both sides by (-1)

Remember to flip the inequality sign

x < -3

Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

(5x) > 15

Divide both sides by 5

x > 3

Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x < -3

x > 3

Solutions in Interval Notation

(-∞,-3)

(3,+∞)