Question

que from linear inequality:
3x-7 > x+1
x∈ ?​

Answer 1

Step-by-step explanation:

3x-x>7+1

2x>8

x>4

xE N

{5,6.,...}

Answer 2

Given,

$\displaystyle\longrightarrow\sf{3x-7>x+1}$

Subtracting $\displaystyle\sf {x+1}$ from both sides,

$\displaystyle\longrightarrow\sf{(3x-7)-(x+1)>0}$

$\displaystyle\longrightarrow\sf{3x-7-x-1>0}$

$\displaystyle\longrightarrow\sf{2x-8>0}$

Adding 8,

$\displaystyle\longrightarrow\sf{2x>8}$

Dividing by 2,

$\displaystyle\longrightarrow\sf{x>\dfrac {8}{2}}$

$\displaystyle\longrightarrow\sf{x>4}$

Hence the solution set of the inequality is,

$\displaystyle\longrightarrow\sf {\underline {\underline {x\in (4,\ \infty)}}}$