If x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3), then which statement is true?

1 answer

The statement "x + 12 ≤ 5 − y" can be rewritten as "y ≤ -x + 7."

The statement "5 − y ≤ 2(x − 3)" can be rewritten as "y ≥ 7 - 2x."

Therefore, combining the two inequalities, we have:

7 - 2x ≤ y ≤ -x + 7.

This means that the statement "y is between 7 - 2x and -x + 7" is true.