PLEASE NO LINKS. Rewrite without absolute value for the given conditions:
y =|x −3|+|x +2|−|x −5|, if x < −2

y = -x - 4

Step-by-step 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

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

what i would say the best answer is a. 40.5