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Mathematics

If the replacement set is the set of whole numbers, solve :

7 - 3x ≥ −12-\dfrac{1}{2}

Linear Inequations

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Answer

7 - 3x ≥ −12-\dfrac{1}{2}

⇒ -3x ≥ −12−7-\dfrac{1}{2} - 7

⇒ -3x ≥ −152-\dfrac{15}{2}

Dividing both sides by (-3) we get,

⇒ x ≤ 52\dfrac{5}{2} (As on dividing by negative no. the sign reverses.)

Since, x ∈ W

∴ Solution set = {0, 1, 2}.

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