$\"\"$

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The inequality is $\"\"$ .

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Step 1:

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The exclude value for this inequality is $\"\"$ and $\"\"$ .

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Step 2:

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Solve the related equation.

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$\"\"$ (Original equation)

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The LCD for the term is $\"\"$ .

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Multiply by LCD.

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$\"\"$

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$\"\"$ (Divide common factors)

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$\"\"$ (Multiply)

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$\"\"$ (Combine like terms)

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Additive imverse property: $\"\"$ )

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$\"\"$ (Factors)

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$\"\"$ and $\"\"$ (Simplify)

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$\"\"$

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Step 3:

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Draw vertical line at the excluded value and at the solutions to separate the number line into intervals.

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Graph:

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Graph the number line.

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$\"\"$

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$\"\"$

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Step 4: Test values are in each interval to determine the values of interval satisfy the inequality.

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Case (i):

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Test $\"\"$ .

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$\"\"$ (Original inequality)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (LCD is $\"\"$ )

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$\"\"$ (Subtract the numerator)

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$\"\"$ (Simplify)

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Case (ii):

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Test $\"\"$ .

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$\"\"$ (Original inequality)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (LCD is $\"\"$ )

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$\"\"$ (Subtract the numerator)

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$\"\"$ (Simplify)

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$\"\"$

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Case (iii): Test $\"\"$ .

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$\"\"$ (Original inequality)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (Simplify)

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Case (iv):

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Test $\"\"$ .

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$\"\"$ (Original inequality)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (Simplify)

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$\"\"$ (Addition)

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Case (v):

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Test $\"\"$ .

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$\"\"$ (Original inequality)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (LCD is $\"\"$ )

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$\"\"$ (Addition)

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$\"\"$ (Simplify)

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The statement is true for $\"\"$ and $\"\"$ .

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Therefore the solution is $\"\"$ or $\"\"$ .

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$\"\"$

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The solution is $\"\"$ or $\"\"$ .