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Mathematics

Which one of the following is a solution to the inequality 3x - 5 < 6?

  1. 3
  2. 4
  3. 5
  4. 6

Linear Inequations

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Answer

Given:

3x - 5 < 6

⇒ 3x < 6 + 5 \quad [Adding 5 on both sides]

⇒ 3x < 11

⇒ x < 113[Dividing both sides by 3]\dfrac{11}{3} \quad \text{[Dividing both sides by 3]}

⇒ x < 3.66

Among all four options only 3 is less than 3.66

Hence, option 1 is the correct option.

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