Question

if 2/x < 3 then x belongs to ?

Answer 1

Hey!
Your answer-
$\frac{2}{x} < 3$
$2 < 3x$
$\frac{2}{3} < x$

Therefore,
$x \: belongs \: to \: ( \frac{2}{3} \: \infty )$
S={x:x belongs to (2/3,infinity) , x belongs to R}

Hope it helps!!

Answer 2

The value of x would lie in (2/3,infinity)

Given

• 2/x < 3

To find

• x belongs to

Solution

we are provided with an inequality containing a variable X and are asked to find the interval in which X would satisfy the given inequality

The values of X which satisfies the given inequalit can be estimated by simple operations just like as the case of a equation containing "equal to" symbol.

The given inequality,

2/x < 3

or, 2 < 3x ( bringing the variable x to the right side)

we are required to find the value of x ,thus we would eliminate three in the term containing x.

Therefore,

2/3 < x

From this inequality, it could be understood that for all the value of x greater than 2/3 the inequality will hold good.

Therefore, the value of x would lie in ( 2/3,infinity)