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Question
Find the smallest value of x in the following inequation.
3(x + 4) ≤ 5(x – 1) + 4 and x ≤ N
Options
5
6
7
8
MCQ
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Solution
7
Explanation:
⇒ 3(x + 4) ≤ 5(x – 1) + 4
⇒ 3x + 12 ≤ 5x – 5 + 4
⇒ 3x + 12 ≤ 5x – 1
⇒ 5x – 3x ≥ 12 + 1
⇒ 2x ≥ 13
⇒ `x ≥ 13/2`
⇒ `x ≥ 6 1/2`
Since, x ∈ N.
The smallest value of x is 7.
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