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

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User Mclin
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1 Answer

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Answer:

Dividing with negatives will result in a flip in the signs.

Explanation:

In the first equation, -7y>161, if you solve it, you will need to divide both sides by -7.


-7y > 161\\ \\\\

Since you are involving a negative, you will have to switch the signs. That means that if you have solved this, the answer would be:

y < -23

Notice the change in signs.

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Now in the second equation, the constant (161) is negative. So if you solve this,


7y > -161

You will only need to divide both sides by 7, which is a positive number. That leaves the sign to stay the same, so the answer would be:

y > -23

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If you look at the signs in both answers, they are flipped.

Have a nice day!

User Barry Fruitman
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