SOLUTION: Let p and q be two positive numbers where p > q. Geoffrey graphs the numbers p, q, and their opposites on a number line. Which statements must be true for all values of p and q?

Question 1207471: Let p and q be two positive numbers where p > q. Geoffrey graphs
the numbers p, q, and their opposites on a number line. Which
statements must be true for all values of p and q?
Select all that apply.
A The number − q lies halfway between 0 and − p.
B The number − q is greater than the number − p.
C The number − p is closer to 0 than is − q.
D The number 0 is between − p and − q.
E The number q is closer to 0 than − p.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Draw a number line with the numbers 0, p, q, -p, and -q as prescribed and answer the questions yourself....

Note you might need to draw 2 or 3 such number lines with different values for p and q to answer the question correctly.


   ...-----|------|---|---|------|-----...
          -p     -q   0   q      p

or...

   ...------|---|---------|---------|---|------...
           -p  -q         0         q   p

A: Is the number − q halfway between 0 and − p on both number lines?
B: Is the number − q greater than the number − p on both number lines?
C: Is the number − p closer to 0 than − q on both number lines?
D: Is the number 0 between − p and − q on both number lines?
E: Is the number q closer to 0 than − p on both number lines?

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