Question

For which values of x is the inequality 2(1 + x) > x + 8 true?

Answer 1

`\large\boxed{\text{For}\ x>6\to x\in(6,\ \infty)}`

Explanation:

`2(1+x)>x+8` use distributive property

`2+2x>x+8` subtract 2 from both sides

`2x>x+6` subtract x from both sides

`x>6`