Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
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
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.