for what value of x , is | x – 3 | + | x + 1 | + | x | = 10 ?
"there are 3 transition points : - 1 , 0 , 3 when x > 3 , | x − 3 | + | x + 1 | + | x | = 10 | x − 3 + x + 1 + x = 10 x = 4 satisfies when 0 < x < 3 | x − 3 | + | x + 1 | + | x | = 10 − ( x − 3 ) + ( x + 1 ) + x = 10 x = 6 ( not possible since 0 < x < 3 ) when - 1 < x < 0 | x − 3 | + | x + 1 | + | x | = 10 − ( x − 3 ) + − ( x + 1 ) + x = 10 x = - 8 ( not possible since - 1 < x < 0 ) when x < - 1 | x − 3 | + | x + 1 | + | x | = 10 - ( x - 3 ) - ( x + 1 ) - x = 10 x = - 8 / 3 satisfies answer : d"
negate(3)