Question

If x Ꞓ N , the solution set of the inequalities 2x − 5 < 3 is :

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

TO DETERMINE

$\sf{For \: x \in \N \: \: the \: solution \: set \: of \: the \: inequality }$

$\sf{ 2 x- 5 < 3\: }$

CALCULATION

$\sf{Here \: \N \: \: is \: the \: Set \: of \: Natural \: numbers}$

$\sf{More \: precisely \: \: \N = \{ 1,2,3,4,...... \} }$

Now

$\sf{2x -5 < 3 \: }$

$\implies \: \sf{2x < \: 5 + 3 \: }$

$\implies \: \sf{2x < \: 8\: }$

$\implies \: \sf{x < \: 4\: }$

$\sf{Since \: x \in \N \: \: and \: \: x < 4 \: }$

So x = 1 , 2 , 3

$\sf{Hence \: the \: required \: solution \: set \: is \: \: \{ 1,2,3 \} \: }$

━━━━━━━━━━━━━━━━

LEARN MORE FROM BRAINLY

If x=2/5 ,y=-4/3 ,z=8/9 ,then verify the following relation :x+(y+z)=(x+y)+z

https://brainly.in/question/23749190