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Mathematics

Which one of the following is not a solution to the inequality 2x > 18 - 5x?

  1. 7
  2. 5
  3. 3
  4. 1

Linear Inequations

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Answer

Given:

2x > 18 - 5x

⇒ 2x + 5x > 18 \quad [Adding 5x on both sides]

⇒ 7x > 18

⇒ x > 187[Dividing both sides by 7]\dfrac{18}{7} \quad \text{[Dividing both sides by 7]}

⇒ x > 2.57

The solution must be greater than 2.57. Since 1 is not greater than 2.57, therefore 1 is not a solution.

Hence, option 4 is the correct option.

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