Answer:
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.