Question

12. If n is a nonzero integer, then

than
n+ 1/n
is always greater
13. If two angles are supplements of each other, then one
of the angles must be acute.
14. A line s divides MN into two line segments. So, the
line s is a segment bisector of MN.

Answer 1

12. False

13. False

14. False

Explanation:

You want to know the truth value of various statements related to numbers, angles, and lines.

12. n +1/n > n

Let's see if there are any values of n for which this is false:

n +1/n ≤ 0

1/n ≤ 0

The value of 1/n cannot be zero, but its sign will match the sign of n. The given statement is false for integers n less than zero.

The statement is false.

13. Acute angle

Two angles are supplements of each other when their sum is 180°.

If both angles are right angles, neither is acute. They will be supplements of each other.

The statement is false.

14. Bisector

A line s will only bisect MN if it intersects at the midpoint of MN. It is not required to do so. Line s may not be a bisector of MN.

The statement is false.

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