To solve the equation |2x + 3| = 11, we can break it down into two cases based on the definition of absolute value.
Step 1: Set Up Cases for Absolute Value
The equation |2x + 3| = 11 gives us two cases to consider:
1.Case 1:
2x + 3 = 11
2.Case 2:
2x + 3 = -11
Step 2: Solve Each Case
For Case 1:
2x + 3 = 11
Subtract 3 from both sides:
2x = 11 - 3
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