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

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

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

about 0.75 hours

step-by-step explanation: