Question

What is the solution to -2|2.2x-3.3|=6.6?

a)x=-3
b)x=3
c)x=-3 or x=0
d)x=0 or x=3

Answer 1

To find the value of x, we start by removing everything around the absolute value bars; divide both sides by -2:

|2.2x - 3.3| = -3.3

Because of the absolute value, we split into 2 equations:

2.2x - 3.3 = 3.3 and 2.2x - 3.3 = -3.3

Add on 3.3 to both sides in both equations:

2.2x = 6.6 and 2.2x = 0

Finally, divide both equations to isolate x (in this case divide both by 2.2):

x = 3 and x = 0

Therefore, x = 0 or x = 3.

Hope this helps! :)