Question HELP PLEASE, BRAINLIEST IF CORRECTTT Rewrite each equation without absolute value for the given conditions: y=|x−3|+|x+2|−|x−5|, if x<-2

Answer: 1. y=|x−3|+|x+2|−|x−5|, if -2<x< 3 = x 2. y=|x−5|+|x+5|, if x>5 = 2x 3. y=|x−5|+|x+5|, if x<−5 = -2x 4. y=|x−5|+|x+5|, if −5<x<5 = 10 Modulus value means it always gives positive value. Therefore, Step-by-step explanation: if x < a, then |x – a| is positive when |x – a | = a -x, which is positive as a is larger than x. and if x >a, then |x-a| is positive when |x-a| = x – a, which is positive as a is smaller than x. Applying the same, (1) for -2 < x < 3, |x – 3 | = 3 – x, as x <3 | x + 2 | = | x – (-2)| = x – (-2) = x+2 as x> -2 | x – 5 | = 5 -x , as x < 5 therefore, y = |x−3|+|x+2|−|x−5| = 3 – x + x + 2 – (5 – x) = x (2) for x > 5, |x – 5|= x – 5 |x + 5| = | x – (-5)| = x + 5 therefore y = x – 5 + x + 5 = 2x (3) for x < -5, |x – 5| = 5 – x |x + 5| = |x – (-5)| = -5-x therefore y = 5 – x + -5 -x = -2x (4) for -5< x < 5, |x -5| = 5 – x |x +5| = x + 5 y = 5 – x + x + 5 = 10 Reply

Answer:1. y=|x−3|+|x+2|−|x−5|, if -2<x< 3 = x2. y=|x−5|+|x+5|, if x>5 = 2x3. y=|x−5|+|x+5|, if x<−5 = -2x4. y=|x−5|+|x+5|, if −5<x<5 = 10Modulus value means it always gives positive value. Therefore,Step-by-step explanation:if x < a, then |x – a| is positive when |x – a | = a -x, which is positive as a is larger than x.and if x >a, then |x-a| is positive when |x-a| = x – a, which is positive as a is smaller than x.Applying the same,(1) for -2 < x < 3,|x – 3 | = 3 – x, as x <3| x + 2 | = | x – (-2)| = x – (-2) = x+2 as x> -2| x – 5 | = 5 -x , as x < 5therefore, y = |x−3|+|x+2|−|x−5| = 3 – x + x + 2 – (5 – x) = x(2) for x > 5,|x – 5|= x – 5|x + 5| = | x – (-5)| = x + 5therefore y = x – 5 + x + 5 = 2x(3) for x < -5,|x – 5| = 5 – x|x + 5| = |x – (-5)| = -5-xtherefore y = 5 – x + -5 -x = -2x(4) for -5< x < 5,|x -5| = 5 – x|x +5| = x + 5y = 5 – x + x + 5 = 10