Solve the inequality -
x / x - 5 > 1/2
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★ INEQUALITIES ★
Given function -
x/ x- 5 > 1/2
x/ x - 5 - 1/2 > 0
2x - x + 5 / 2 ( x - 5 ) > 0
x + 5 / 2 ( x - 5 ) > 0
Hence ,
x ∈ ( - ∞ , -5 ) ∪ ( 5 , + ∞ )
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Given function -
x/ x- 5 > 1/2
x/ x - 5 - 1/2 > 0
2x - x + 5 / 2 ( x - 5 ) > 0
x + 5 / 2 ( x - 5 ) > 0
Hence ,
x ∈ ( - ∞ , -5 ) ∪ ( 5 , + ∞ )
★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★
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