$\"\"$

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The inequality $\"\"$ .

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Solve inequality.

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$\"\"$ (Original inequality)

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

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$\"\"$ (Apply additive inverse property : $\"\"$ )

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Apply additive inverse property : $\"\"$ )

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$\"\"$ (L.C.M of $\"\"$ is $\"\"$ )

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$\"\"$ (Simplify)

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Therefore, the solution set is $\"\"$ . $\"\"$

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Check:

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Case(i): Consider $\"\"$ .

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$\"\"$ (Original inequality)

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$\"\"$ (Substitute $\"\"$ in the inequality)

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$\"\"$ (Multiply)

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$\"\"$ (Simplify)

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$\"\"$

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Therefore, the stament is true.

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Case(ii): Consider $\"\"$ .

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$\"\"$ (Original inequality)

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$\"\"$ (Substitute $\"\"$ in the inequality)

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$\"\"$ (Multiply)

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$\"\"$ (Simplify)

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$\"\"$ (Simplify)

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Therefore, the stament is true.

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

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$\"\"$ (Original inequality)

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$\"\"$ (Substitute $\"\"$ in the inequality)

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$\"\"$ (Multiply)

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$\"\"$ (Simplify)

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$\"\"$ (Simplify)

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Therefore, the stament is false.

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$\"\"$

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Graph:

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Graph the inequality on a number line is

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$\"\"$

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Note: The dot indicates that the value is included in the solution set.

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$\"\"$

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The solution set is $\"\"$ .

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Graph of the inequality on a number line is

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$\"\"$