Answered

Get the answers you've been searching for with IDNLearn.com. Ask any question and receive accurate, in-depth responses from our dedicated team of experts.

Solve |2x - 2| < 8

{x|-3 < x < 5}
{x|x < -3 or x > 5}
{x|-5 < x < 3}

Sagot :

Brainliestanswereridn

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 |2x-2|

For the Negative case we'll use -(2x-2)

For the Positive case we'll use (2x-2)

-(2x-2) < 8

Multiply

-2x+2 < 8

Rearrange and Add up

-2x < 6

Divide both sides by 2

-x < 3

Multiply both sides by (-1)

Remember to flip the inequality sign

x > -3

Which is the solution for the Negative Case

(2x-2) < 8

Rearrange and Add up

2x < 10

Divide both sides by 2

x < 5

Which is the solution for the Positive Case

[tex]  -3 < x < 5[/tex]

[tex]( - 3,5)[/tex]

One solution was found :

-3 < x < 5

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.