Question

What is the solution of the inequality below for y ?

2x − 5y ≤ 15

Answer 1

The solution for y in 2x − 5y ≤ 15 is
`y \geq (2x)/(5) - 3`

Solution:

Given that we have to find solution for given inequality for y

2x − 5y ≤ 15

Let us solve above equation for "y"

`2x - 5y \leq 15`

Add -2x on both sides

`-2x + 2x - 5y\leq 15 - 2x\\\\-5y \leq 15 - 2x`

Divide by -5 on both sides

Remember that You can perform on operations on both sides of inequality, and have its truth value unchanged

But if we multiply or divide by a negative number, we must flip the sign

`(-5y)/(-5) \geq (15)/(-5) - (2x)/(-5)\\\\y \geq -3 + (2x)/(5)\\\\y \geq (2x)/(5) - 3`

Thus solution for "y" is found