Mathematics
Find the smallest value of x in the following inequation.
3(x + 4) ≤ 5(x - 1) + 4 and x ≤ N
5
6
7
8
Linear Inequations
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Answer
⇒ 3(x + 4) ≤ 5(x - 1) + 4
⇒ 3x + 12 ≤ 5x - 5 + 4
⇒ 3x + 12 ≤ 5x - 1
⇒ 5x - 3x ≥ 12 + 1
⇒ 2x ≥ 13
⇒ x ≥
⇒ x ≥
Since, x ∈ N.
The smallest value of x is 7.
Hence, Option 3 is the correct option.
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