Solution of inequality 1/(x - 5) < 3

Question

asked Feb 24, 2024 187k views

1 Answer

Pronoob · Answer 1 · 2024-03-01T02:08:11+0000

Hello!

Answer:

$\Large \boxed{\sf x < (16)/(3) }$

Explanation:

We want to solve this inequality:

$\sf (1)/(x-5) < 3$

◼ Multiply both sides by (x - 5):

$\sf (1)/(x-5) * (x-5) < 3 * (x-5)$

◼ Simplify both sides:

$\sf 1 < 3x - 15$

◼ Add 15 from both sides:

$\sf 1 +15 < 3x - 15+15$

◼ Simplify both sides:

$\sf 16 < 3x$

◼ Divide both sides by 3:

$\sf (16)/(3) < (3x)/(3)$

◼ Simplify both sides:

$\boxed{\sf x < (16)/(3) }$