Solve the inequality -
x/ x + 2 ≤ 1/x
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★ INEQUALITIES ★
x / x + 2 ≤ 1/x
x/x+2 - 1/x ≤ 0
After several transposition :
x² - x - 2 / x ( x + 2 ) ≤ 0
x - 2 ( x + 1 ) / x ( x + 2 ) ≤ 0
Hence , Range definition is :
x ∈ ( -2 , -1 ] ∪ ( 0 , 2 ]
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x / x + 2 ≤ 1/x
x/x+2 - 1/x ≤ 0
After several transposition :
x² - x - 2 / x ( x + 2 ) ≤ 0
x - 2 ( x + 1 ) / x ( x + 2 ) ≤ 0
Hence , Range definition is :
x ∈ ( -2 , -1 ] ∪ ( 0 , 2 ]
★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★
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