Question

question look at the diagram and evaluate. which of the statements below is true? diagram: number line from 0 to 24 with points l (7), m (11), n (15), o (17) answer options: n is the midpoint of \\(\overline{mo}\\); \\(no > mn\\); \\(mo > mn\\); \\(mn = no\\)

Explanation:

To solve this, we first find the positions of points: \( L = 7 \), \( M = 11 \), \( N = 15 \), \( O = 17 \).

Step 1: Analyze each option

• Option 1: \( N \) is the midpoint of \( \overline{MO} \)

Midpoint of \( MO \): \( \frac{M + O}{2} = \frac{11 + 17}{2} = 14 \). \( N = 15
eq 14 \), so false.

• Option 2: \( NO > MN \)

\( NO = O - N = 17 - 15 = 2 \); \( MN = N - M = 15 - 11 = 4 \). \( 2
ot> 4 \), so false.

• Option 3: \( MO > MN \)

\( MO = O - M = 17 - 11 = 6 \); \( MN = 4 \). \( 6 > 4 \), so true.

• Option 4: \( MN = NO \)

\( MN = 4 \), \( NO = 2 \). \( 4
eq 2 \), so false.

Answer:

\( \boldsymbol{MO > MN} \) (the option "MO > MN")