Question

If `x + x/2 + x/3 > 11, x ∈ R` then one solution of the inequation is ______.

Options

• x = 3

• x = −4

• x = 0

• x = 9

Answer 1

If `x + x/2 + x/3 > 11, x ∈ R` then one solution of the inequation is x = 9.

Explanation:

`x + x/2 + x/3`

`= (6x+3x+2x)/6`

`= 11x/6`

So `11x/6 > 11`

⇒ 11x > 66

⇒ x > 6

Thus any number > 6 is

x = 9