Question

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

Answer 1

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) }`