Question

PLEASE HELP THIS IS URGENT

(02.03 MC) Solve for x: −3|x − 3| = −6 (5 points)
Select one: a. x = 1, x = −1 b. x = 1, x = 5 c. x = 0, x = 5 d. No solutions

Answer 1

x= 1, x = 5

-3|x - 3| = -6
———— —– divide both sides by -3
-3 -3 and remove the bars

x - 3 = 2
+3 +3
—————
x = 5⭐️

-3|1-3|➡️-3|-2|= -6

Answer 2

A. x = 1, x = -1

Explanation:

Given the inequality

−3|x − 3| = −6

The equation will give us two solutions due to the nodulus sign. The modulus sign means that the function x- 3 can take both positive and negative value.

If |x-3| is positive, we have:

-3(x+3) = -6

-3x-9 = -6

Moving -9 to the other side:

-3x = -6-(-9)

-3x = -6+9

-3x = 3

x = 3/-3

x = -1

Similarly if |x-3| is negative, we have:

-3{-(x-3)} = -6

-3(-x+3) = -6

3x-9 = -6

3x = -6+9

3x = 3

x = 3/3

x = 1

The solutions are x = -1 and x = 1