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

3 - 2|0.5x + 1.5| = 2

3 - 2 = 2 |0.5x+1.5|

1 = 2 |0.5x + 1.5|

1/2 = | 0.5x + 1.5|

===>
| 0.5x + 1.5 | = 0.5

Then
0.5x + 1.5 =0.5 (or) 0.5x + 1.5 = -0.5

0.5x = -1 (or) 0.5x = -2

x = -2 (or) x = -4

I hope this answer helps you

Answer 2

Answer:

refer to the attached image :)