Question

How do you write `-5-11x>5-7x` in interval notation?

Answer 1

First, you must solve: `-5 - 11x > 5 - 7x`

Explanation:

Add 7x to both sides: `-5 + 7x - 11x > 5 - 7x + 7x`
Add 5 to both sides: `5 + -5 - 4x > 5 + 5`
Simplify: `-4x > 10` , then divide by -4 and switch the inequality symbol.
`((-4x)/-4)<(10/-4)`
`x < -5/2`

Now, you should write your answer in interval notation, as follows: `(-oo,-5/2)` which represents all real numbers from `-oo` up to but not including `-5/2`.