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

Answer:

To solve -7y > 161, you must divide both sides by -7, which requires reversing the inequality symbol to obtain y -161, you divide both sides by 7, which does not require reversing the symbol, resulting in y > -23. The main difference is whether you flip the inequality sign based on the sign of the divisor.