25<n+(-12)
25 < n - 12
37 < n
n > 37
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To determine whether the statement 25 < n + (-12) is true or false, you need to solve the inequality.
Step 1: Simplify the expression on the right side of the inequality:
n + (-12) is equivalent to n - 12.
Step 2: Substitute the simplified expression into the inequality:
25 < n - 12.
Step 3: Add 12 to both sides of the inequality to isolate the variable, n:
25 + 12 < n - 12 + 12.
37 < n.
Step 4: Simplify the inequality further:
n > 37.
Therefore, the original inequality 25 < n + (-12) is true if n is greater than 37.