Question

HELP ASAP ! Explain how solving -7y > 161 is different from solving 7y > -161.

Answer 1

Answer:

When solving -7y > 161 your symbol will be flipped when you divide by -7 and the number will be negative. Normally you would want to have a negative variable

when solving a inequality.

In 7y > -161 the symbol will not be flipped and the number will be negative.

The difference between both equations is if y is less than or greater.

Answer 2

Answer:

The inequalities would be different. One would be less than and the other would be greater than.

Step-by-step explanation:

The main differences between them is that the solutions that you would end up with with be completely different when you solve them.

Work:

$-7y > 161\\\\\text{The variable (y) can't be negative, so you would divide -7 on both sides}\\\text{Since you're diving by a negative, the}\, (>)\text{ would flip.}\\\\y -161\\\\\text{In this one, you would just divide by 7}\\\\y>-23$

They both get -23, but the inequalities would be different.

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!