$\"\"$ \ \

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The inequality is $\"\"$ . \ \

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Solve the inequality. \ \

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$\"\"$ (Original inequality) \ \

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

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

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$\"\"$ (Multiply each side by $\"\"$ ) \ \

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$\"\"$ (Cancel common terms) \ \

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$\"\"$ (Multiply) \ \

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

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

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$\"\"$ (Add: $\"\"$ ) \ \

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$\"\"$ (Divide each side by $\"\"$ ) \ \

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$\"\"$ (Cancel common terms) \ \

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The graph of the solution set on a number line diagram.

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$\"Graph$ \ \

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A circle means that this point is not included in the solution set. \ \

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$\"\"$ \ \

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Check solution for $\"\"$ -value. \ \

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

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$\"\"$ (Original inequality) \ \

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

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$\"\"$ (Multiply) \ \

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$\"\"$ (Subtract: $\"\"$ ) \ \

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$\"\"$ (Simplify) \ \

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$\"\"$ (Subtract: $\"\"$ ) \ \

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Therefore, $\"\"$ is true inequality. \ \

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

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$\"\"$ (Original inequality) \ \

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

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$\"\"$ (Multiply) \ \

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$\"\"$ (Subtract: $\"\"$ ) \ \

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$\"\"$ (Simplify)

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$\"\"$ (Subtract: $\"\"$ ) \ \

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Therefore, $\"\"$ is false inequality. \ \

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$\"\"$ \ \

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The solution set of the inequality is $\"\"$ .

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