Question

Solve the absolute value equation 4|7−x|+1=−1
.(1 point)
Responses

x=7
x equals 7

x=152
x equals Start Fraction 15 over 2 End Fraction

no solution
no solution

x=132
and x=152
x equals Start Fraction 13 over 2 End Fraction and x equals Start Fraction 15 over 2 End Fraction

Answer 1

No solution.

Reason: 4|7−x| ≥ 0, so 4|7−x| + 1 ≥ 1, which can never equal −1.