Question

Which are the solutions to the equation |2x 14| 12 = 12?
(Points : 4)
x = 10 or x = 7

x = 5 or x = 7

x = 5 or x = 2

x = 7 only

Answer 1

|2x 14| 12 = 12? <--- is there like a + or a - somewhere?
is it |2x 14| +12 = 12? or |2x 14| - 12 = 12?

Answer 2

|2x - 14| -12 = 12?

Answer 3

\(\bf |2x - 14| -12 = 12 \implies |2x - 14| = 12+12\\ \quad \\ \quad \\
|2x - 14| = 24 \implies
\begin{cases}
+1(2x - 14) = 24\\\quad \\
\bf -1(2x - 14) = 24
\end{cases}\)

Answer 4

so, you'd get 2 answers, 2 values for "x", one from each scenario/case/function

Answer 5

thanks i got it