Question

Which inequalities are equivalent to n + 15 less-than 22? Select three options.

A: n + 15 minus 15 less-than 22 minus 15
B: n + 15 less-than 22 minus 15
C: n + 15 minus 22 less-than 22 minus 22
D: n + 15 + 6 less-than 22 + 6
E: n + 15 minus 22 less-than 22

Answer 1

its A C D

Step-by-step explanation:i took the test the answer i used was wrong

Answer 2

A, B, and D

Explanation:

The inequality n + 15 less-than 22 can be simplified by subtracting 15 from both sides:

n + 15 - 15 < 22 - 15

This simplifies to:

n < 7

So, any inequality of the form n < 7 is equivalent to n + 15 less-than 22.

Out of the given options:

A: n + 15 minus 15 less-than 22 minus 15

This simplifies to n < 7, which is equivalent to the original inequality.

B: n + 15 less-than 22 minus 15

This simplifies to n < 7, which is equivalent to the original inequality.

C: n + 15 minus 22 less-than 22 minus 22

This simplifies to n - 7 < 0, which is not equivalent to the original inequality.

D: n + 15 + 6 less-than 22 + 6

This simplifies to n + 21 less-than 28, which simplifies further to n < 7, which is equivalent to the original inequality.

E: n + 15 minus 22 less-than 22

This simplifies to n - 7 less-than 0, which is not equivalent to the original inequality.

Therefore, options A, B, and D are equivalent to the inequality n + 15 less-than 22.