Question

PLEASE HELP!

Answer 1

Because when we devide both sides by a negative number the more than or less than signs reverse so in first case :
$- 7y > 161 ( \div - 7) \\ y < - 23$
while in second case :
$7y > - 161( \div 7) \\ y > - 23$

Answer 2

  Hi!  Feel free to use either answer.

 

My answer: It is different because you get a different answer when you multiply or divide when the negative sign is in a different position. If y equals 2, the first inequality is incorrect because -14 is less than 161, not greater. But in the second equation, 14 is greater than -161, so the other inequality is correct. So when the negative sign gets switched/moved around to each number, the positive and negative values of each number swap.

Sample response: Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>

  Hope this helps!