Question

3 left parenthesis x space minus space 8 right parenthesis greater than negative 4 space plus space x

Answer 1

The solution of the given inequality

x > 10

Explanation:

Step(i):-

Given inequality

3 ( x-8) > -4 + x

Multiply

3 x - 24 > -4 +x

subtract 'x' on both sides , we get

3 x - 24 - x > - 4 + x - x

⇒ 2 x - 24 > - 4

Step(ii):-

Adding '2'4' on both sides , we get

⇒ 2x - 24 + 24 > -4 +24

⇒ 2 x > 20

Dividing '2' on both sides , we get

`(2x)/(2) > (20)/(2)`

x > 10

Final answer:-

The solution of the given inequality

x > 10