Question

Find the smallest value of x in the following inequation.

3(x + 4) ≤ 5(x – 1) + 4 and x ≤ N

विकल्प

• 5

• 6

• 7

• 8

Answer 1

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.