Question

What is the solution to –2|2.2x – 3.3| = –6.6? x = –3 x = 3 x = –3 or x = 0 x = 0 or x = 3

Answer 1

d have a good day

Explanation:

Answer 2

we have

`-2\left|2.2x-3.3\right|=-6.6`

Step 1

Find the first solution

the first solution is when the term contained in the absolute value is positive

`-2[(2.2x-3.3)]=-6.6`

solve for x

`-4.4x+6.6=-6.6\\-4.4x=-6.6-6.6 \\ -4.4x=-13.2\\x=3`

Step 2

Find the second solution

the second solution is when the term contained in the absolute value is negative

`-2[-(2.2x-3.3)]=-6.6`

solve for x

`4.4x-6.6=-6.6\\ 4.4x=0\\x=0`

therefore

the answer is

`x = 0` or
`x = 3`