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

y>-23 for 7y >-161

y161

Step-by-step explanation:

For 7y > - 161

Divide both sides by 7 and the greater than sign stays the same. The results are y > - 23.

For - 7y > 161:

Divide both sides by - 7.

Change the greater than symbol: > to a less than symbol: < and the results are:

y < - 23

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