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!