Question

Which is the solution to the inequality below?

|x-2|+4≤3

a.) no solution
b.) x≥−1orx≤1
c.) x≤1
d.) −1≤x≤1

Answer 1

remember

|a|≥0 for all real values of a


so
|x-2|+4≤3
minus 4 both sides
|x-2|≤-1
false, absolute value can never be negative
no solution
a is answer