Question

Solve the inequality 50x-130-100x>170

Answer 1

`x < -6`

Explanation:

Step 1: Add 130 to both sides

`50x - 130 - 100x > 170`

`50x+( - 130 + 130) - 100x > 170+ 130`

`50x - 100x > 300`

Step 2: Combine like terms

`50x - 100x > 300`

`-50x > 300`

`(-50x)/(-50) > (300)/(-50)`

Since we are dividing by a negative, we would have to flip the > sign to a < sign because that's the rule.

`x < -6`

Answer:
`x < -6`

Answer 2

`x < -6`

Explanation:

`50x-130-100x > 170\\-50x-130 > 170\\-50x > 300\\x < -6`

It is very important to remember to flip the inequality sign when dividing or multiplying by a negative!