Question

Solve for y: y - 4|=7OA. y = 11B. y = 11 or y=−11OC. y=-3 or y = 11OD. y = 3 or y = 11E. y = -3O

Answer 1

Step 1

Given;

`\begin{gathered} |y-4|=7 \\ \end{gathered}`

Required; To find y

Step 2

`\begin{gathered} y-4=-7\quad \mathrm{or}\quad \:y-4=7 \\ if\text{ y-4=7} \\ y=7+4=11 \\ if\text{ y-4=-7} \\ y=-7+4 \\ y=-3 \\ y=-3\quad \mathrm{or}\quad \:y=11 \end{gathered}`

Answer; Option C

`y=-3\quad \mathrm{or}\quad \:y=11`