Question

como resolver a Função Modular |-x+3|-15=5

Answer 1

$|-x+3|-15=5 \\ \\ |3-x|= 20 \\ \\ \\ 3-x=20 \\ \\ \boxed{x = -17} \\ \\ \\ 3-x=-20 \\ \\ \boxed{x=23} \\ \\ \\ \boxed{S=\left \{ -17;\,23 \right \}}$

Answer 2

|-x+3|-15=5 ==> |-x+3| = 15+5
| - x + 3 | = 20 ==> - x + 3 = 20    ou - x + 3 = - 20


a)  - x + 3 =  20 ==> x =  3 - 20 ==> x = - 17


b)  - x + 3 = - 20 ==> x =  3 + 20 ==> x = 23