Question

Solve and write solution in interval notation 4(x+1)+3>x-5

Answer 1

`\large\boxed{x\in\left(-(13)/(3),\ \infty\right)}`

Explanation:

`4(x+1)+4>x-5\qquad\text{use the distributive property}\\\\4x+4+4>x-5\\\\4x+8>x-5\qquad\text{subtract 8 from both sides}\\\\4x>x-13\qquad\text{subtract}\ x\ \text{from both sides}\\\\3x>-13\qquad\text{divide both sides by 3}\\\\x>-(13)/(3)\to x\in\left(-(13)/(3),\ \infty\right)`