Question

2x-5 less than x+1,where x belongs to N​

Answer 1

Answer:

Given that

2x - 5 < x + 1, x € N

⟹2x - x < 1 + 5

⟹x < 6........(1)

As given that x belongs to set of natural numbers and natural number starts from 1

so,

$x \geqslant 1\: \: \: .......(2)$

So, final set of x comes after intersection of both 1 and 2 as :-

$\red{\bold{ \boxed{\boxed{1\leqslant x < 6}}}}$

Answer 2

$2x - 5 < x + 1 \\ 2x - x < 1 + 5 \\ x < 6$

Also

$x \in \: N \\ x \geqslant 1$

So, finally

$1 \leqslant x < 6$