QuestionWhat would be the correct setup for solving for $X$ ? $|x+3|=5$

Studdy Solution

STEP 1

1. The equation involves an absolute value, which means it can have two possible solutions.
2. We need to consider both the positive and negative scenarios for the expression inside the absolute value.

STEP 2

1. Set up the equation for the positive scenario.
2. Set up the equation for the negative scenario.

STEP 3

For the positive scenario, remove the absolute value bars and set the expression inside equal to 5:
$x + 3 = 5$

STEP 4

For the negative scenario, remove the absolute value bars and set the expression inside equal to -5:
$x + 3 = -5$
The correct setup for solving for $x$ involves solving both equations:
1. $x + 3 = 5$
2. $x + 3 = -5$

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