Question

PLEASE NO LINKS.

Rewrite without absolute value for the given conditions:
y =|x −3|+|x +2|−|x −5|, if x < −2

Answer 1

y = -x - 4

Explanation:

y =|x −3|+|x +2|−|x −5|, if x < −2

let x = -1

y1 =|x −3|

y1 = - ( x - 3 ) = -x + 3

y2 = |x +2|

y2 = - (x +2) = -x - 2

y3 = |x −5|

y3 = - (x −5) = -x + 5

y = y1 + y2 + y3

substitute back into original

y = -x + 3 - x - 2 - (-x + 5)

y = -x + 3 - x - 2 + x - 5

y = -x - 4