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Mathematics

For each inequation, given below, represent the solution on a number line:

522x12,xW\dfrac{5}{2} - 2x ≥ \dfrac{1}{2}, x ∈ W

Linear Inequations

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Answer

522x12\dfrac{5}{2} - 2x ≥ \dfrac{1}{2}

Multiply each term with 2 to get:

5×222x×21×22\dfrac{5 \times 2}{2} - 2x \times 2 ≥ \dfrac{1 \times 2}{2}

⇒ 5 - 4x ≥ 1

⇒ - 4x ≥ 1 - 5

⇒ - 4x ≥ - 4

⇒ 4x ≤ 4

⇒ x ≤ 44\dfrac{4}{4}

⇒ x ≤ 1

∵ As x is a whole number.

Hence, solution set = {0, 1}.

For each inequation, given below, represent the solution on a number line: Linear Inequations, Concise Mathematics Solutions ICSE Class 8.

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