Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

which of the following are solutions to | x - 1 |=5x + 2 ?

Sagot :

LammettHash

Use the definition of absolute value,

[tex]|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}[/tex]

If x - 1 ≥ 0, then |x - 1| = x - 1, and so

|x - 1| = 5x + 2

x - 1 = 5x + 2

4x = -3

x = -3/4

Otherwise, if x - 1 < 0, then |x - 1| = -(x - 1), which means

|x - 1| = 5x + 2

-x + 1 = 5x + 2

6x = -1

x = -1/6

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.