Question

If inequality 2/x<3 is true, when x belongs to:
a) [2/3,infinity)
b) (- infinity,2/3]
c) (2/3,infinity)u(- infinity, 0)

Answer 1

2/x < 3

1/x < 3/2

x > 2/3

So, x belongs to [2/3, ∞)

Answer 2

Answer:

x belongs to the interval (2/3, infinity)

Step-by-step explanation:

The given inequality is 2/x <3

$=\frac{2}{x} < 3$

= 2 < 3x

= 2/3 < x

$=x > \frac{2}{3}$

= x > 2/3

x ∈ (2/3, infinity)

Here, x is strictly greater than 2/3

Therefore x belongs to the interval ( 2/3, infinity)

Note:

None of the given option is correct as the correct interval is ( 2/3, infinity)