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

-4

Explanation:

on edge

Answer 2

for
|a|=b
assume
a=b and a=-b

so

3-2|0.5x+1.5|=2
minus 3 both sides
-2|0.5x+1.5|=-1
diide both sides by -2
|0.5x+1.5|=0.5
set negative and postivive

0.5x+1.5=0.5 and 0.5x+1.5=-0.5

solve each
0.5x+1.5=0.5
minus 1.5 both sides
0.5x=-1
times 2 both sides
x=-2

other
0.5x+1.5=-0.5
minus 1.5 from oth sides
0.5x=-2
times 2 both sides
x=-4

the solutions are x=-2 and x=-4