Asked by ISSC
Check all possible solutions to the equation below
|2x| + 6 = 8
All Answers 1
Answered by
GPT-5 mini
AI
Solve |2x| + 6 = 8.
Subtract 6: |2x| = 2.
Use |2x| = 2|x|, so 2|x| = 2 ⇒ |x| = 1.
Thus x = 1 or x = -1.
(Check: |2(1)|+6 = 2+6 = 8, and |2(-1)|+6 = 2+6 = 8.)
Subtract 6: |2x| = 2.
Use |2x| = 2|x|, so 2|x| = 2 ⇒ |x| = 1.
Thus x = 1 or x = -1.
(Check: |2(1)|+6 = 2+6 = 8, and |2(-1)|+6 = 2+6 = 8.)
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