Question
Solve - 8 < 2 (x + 4) or - 3x + 4 > x - 4
- - 8 < x < 2
- - 8 ≤ x < 2
- - 8 < x ≤ 2
- - 8 ≤ x ≤ 2
Hint:
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions
The correct answer is: - 8 < x < 2
8 < 2(x + 4)
- 8 < 2x + 8
- 16 < 2x
- 8 < x
- 3x + 4 > x - 4
- 3x + 8 > x
8 > 4x
2 > x
So, - 8 < x < 2
Inequality reverse if we multiply both side with -1
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