Question

Simplify 3x+7>x+2

`simplify \: \: 3x + 7 \geqslant x + 2`
​

Answer 1

x ≥
`(-5)/(2)`

Explanation:

step(i):-

Given inequality

3x + 7 ≥ x +2

subtracting '2' on both sides, we get

⇒ 3x + 7 -2 ≥ x+2-2

⇒ 3 x + 5 ≥ x

subtracting 'x' on both sides, we get

3x +5 -x≥ x-x

⇒ 3x +5 -x ≥ 0

⇒ 2 x + 5≥ 0

Step(ii):-

subtracting '5' on both sides ,we get

2 x + 5 -5 ≥ 0-5

⇒ 2 x ≥ -5

⇒
`(2)/(2) x\geq (-5)/(2)`

Final answer:-

⇒ x ≥
`(-5)/(2)`