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FRACTIONAL INEQUALITIES
The Step to solving of fractional inequality : Find the x values which cause the numerator and denominator are zero Put them on the number line Sign every part of the number line ( either positive or negative ) Remember with “ the denominator isn’t equal zero Find the solution set
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Example The SS is { x/x ≤ -2 or x>1, x Є R }
1. Find the solution set : step X + 2 = 0,→ x = -2 X - 1= 0, → x = 1 Step 2 Step Step ? ( x ≠ 1) step 5 The SS is { x/x ≤ -2 or x>1, x Є R }
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Example The SS { x/ -2 ≤ x ≤ 2 or 3 < x < 4,xЄ R 2.
The SS { x/ -2 ≤ x ≤ 2 or 3 < x < 4,xЄ R
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example 3. The numerator doesn’t have the values of x
which cause the numerator is zero X2 + 1 is definite positive The SS is { x / x < -4 or x > 4, x Є R }
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example The SS is { x/x < ½ or x >3, x Є R } 4.
½ The SS is { x/x < ½ or x >3, x Є R }
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