Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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