Question

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

Answer 1

Answer:

$x < -6$

Step-by-step 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

$50x - 100x > 300$

$-50x > 300$

$\frac{-50x}{-50} > \frac{300}{-50}$

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

Answer:

$x < -6$

Step-by-step 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!