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Mathematics

The solution set for the inequation 2x + 4 ≤ 14, x ∈ W is :

  1. {1, 2, 3, 4, 5}

  2. {0, 1, 2, 3, 4, 5}

  3. {1, 2, 3, 4}

  4. {0, 1, 2, 3, 4}

Linear Inequations

ICSE 2023

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Answer

Solving,

⇒ 2x + 4 ≤ 14

⇒ 2x ≤ 14 - 4

⇒ 2x ≤ 10

⇒ x ≤ 102\dfrac{10}{2}

⇒ x ≤ 5.

Since, x ∈ W,

∴ x = {0, 1, 2, 3, 4, 5}.

Hence, Option 2 is the correct option.

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