Question

PLEASE HELP!! need this test done. the solution set of |R-3|=10 is

Answer 1

Answer: Heyaa! ~

Your Answer is... (-7, 13) Which is C.

Explanation:

Factor then solve to find the complex solutions.

Remove the absolute value term. This creates a ±

on the right side of the equation because |x|=±x.

R−3=±10

The complete solution is the result of both the positive and negative portions of the solution.

R= -7, 13

Hopefully this helps you! ~

Answer 2

`\{-7,13\}`

Explanation:

`~~~~~~|R-3| = 10\\\\\implies R -3 = 10~~~~~~ \text{or}~~~~~~~R -3 = -10\\\\\implies R = 10+3~~~~~~\text{or}~~~~~~~R = -10+3\\\\\implies R = 13~~~~~~~~~~~ \text{or}~~~~~~~R = -7\\\\\text{Solution set:} ~\{-7,13\}`