Directions: Solve each equation. Check your solution(s) then indicate whether or not the solutions are extraneous.

Joschi asked Mar 13, 2023

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Joschi asked Mar 13, 2023

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12 votes

we have

Part 3

$3\mleft|x-2\mright|=18$

step 1

Divide by 3 both sides

Solve the first case (positive)

$\begin{gathered} +(x-2)=6 \\ x=6+2 \\ x=8 \end{gathered}$

Solve the second case (negative)

$\begin{gathered} -(x-2)=6 \\ x-2=-6 \\ x=-6+2 \\ x=-4 \end{gathered}$

MasterM answered Mar 16, 2023

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