Question

please solve |5x-12|<-2​

Answer 1

Answer:

Absolute Value Inequality entered :

|5x+12|<2

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered

|5x+12| < 2

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+12|

For the Negative case we'll use -(5x+12)

For the Positive case we'll use (5x+12)

STEP

3

:

Solve the Negative Case

-(5x+12) < 2

Multiply

-5x-12 < 2

Rearrange and Add up

-5x < 14

Divide both sides by 5

-x < (14/5)

Multiply both sides by (-1)

Remember to flip the inequality sign

x > -(14/5)

Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

(5x+12) < 2

Rearrange and Add up

5x < -10

Divide both sides by 5

x < -2

Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

-14/5 < x < -2

Solution in Interval Notation

(-14/5,-2)

Solution on the Number Line

One solution was found :

-14/5 < x < -2

Answer 2

Answer:

answer is ready !!!

Step-by-step explanation:

|5x+12|<2

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered

|5x+12| < 2

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+12|

For the Negative case we'll use -(5x+12)

For the Positive case we'll use (5x+12)

STEP

3

:

Solve the Negative Case

-(5x+12) < 2

Multiply

-5x-12 < 2

Rearrange and Add up

-5x < 14

Divide both sides by 5

-x < (14/5)

Multiply both sides by (-1)

Remember to flip the inequality sign

x > -(14/5)

Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

(5x+12) < 2

Rearrange and Add up

5x < -10

Divide both sides by 5

x < -2

Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

-14/5 < x < -2

Solution in Interval Notation

(-14/5,-2)

Solution on the Number Line