Question

Explain how solving -7y > 161 is different from solving 7y > -161. Please and thank you :D

Answer 1

-7y > 161......here, u would divide both sides by -7...keep in mind, when dividing/multiplying by a negative number, the inequality sign changes.
y < 161/-7
y < -23

7y > -161...here u divide by 7
y > -161/7
y > -23

Answer 2

Solving -7y > 161  is different from solving 7y > -161 is because a change of  symbol from > to > is required when solving -7y > 161 while 7y > -161 still maintains the greater than (>) symbol

The exercise is to explain how solving -7y > 161 is different from solving

7y > -161

For the inequality -7y  >  161

Multiply both sides by -1 and change the inequality sign from > to <

-1(-7y)  < -1(161)

7y   <   -161

Divide both sides by 7

7y / 7 <  -161/7

y   <  -23

For the inequality 7y > -161

Divide both sides by 7

7y/7  >  -161/7

y   >  -23

Solving -7y > 161  is different from solving 7y > -161 is because a change of  symbol from > to > is required when solving -7y > 161 while 7y > -161 still maintains the greater than (>) symbol

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