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

Mathematics

1 answer:

soldi70 [24.7K]2 years ago

3 0

Answer:

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

Step-by-step explanation:

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

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