Solve each inequality

1. y+5>7
y<2
y<12****
y>2
y>12

2. p+12>9
p>21
p>3
p>-21
p>-3****

Are my answers correct?

no

y + 5 >7
subtract 5 from both sides
y > 2

The second one is right

To solve each inequality, you need to isolate the variable on one side of the inequality symbol. Let's go through each inequality to check your answers:

1. y + 5 > 7: To isolate y, subtract 5 from both sides of the inequality.
y > 7 - 5
y > 2

It seems that you labeled y < 12 as the correct answer, but based on the inequality, it should be y > 2. So, your answer for this inequality is incorrect.

2. p + 12 > 9: To isolate p, subtract 12 from both sides of the inequality.
p > 9 - 12
p > -3

It seems that you labeled p > -3 as the correct answer, which is indeed the correct answer. So, your answer for this inequality is correct.

Therefore, only your answer for the second inequality is correct. The correct answer for the first inequality is y > 2, not y < 12.