Question

Manuela solved the equation 3 – 2|0.5x + 1.5| = 2 for one solution. Her work is shown below. 3 – 2|0.5x + 1.5| = 2 –2|0.5x + 1.5| = –1 |0.5x + 1.5| = 0.5 0.5x + 1.5 = 0.5 0.5x = –1 x = –2

Answer 1

Its B

Explanation:

x=−4

Correct on edge

Answer 2

3 – 2|0.5x + 1.5| = 2

3 – x – 3 = 2

-x = 2

x = 2

or

3 – 2|0.5x + 1.5| = 2

– 2|0.5x + 1.5| = 2 - 3

– x – 3 = -1

– x = -1 + 3

-x = 2

x = 2

The solution is correct