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

The other solution to the equation is ______.

Answer 1

@Vocaloid

Answer 2

|0.5x + 1.5| = 0.5

for this you must also consider the possibility that

0.5x + 1.5 = - 0.5

^ solving this for x will give you the other solution