Answer :
The number that is on PQ but not on QP based on the information about the number line is -5.
How to explain the number line
Based on the information, the segment PQ is the set of numbers that are between -8 and -3 on the number line, including -8 but not including -3. So we have:
PQ: -8, -7, -6, -5
The segment QP is the set of numbers that are between -3 and -8 on the number line, including -3 but not including -8. So we have:
QP: -3, -4, -5, -6, -7
The number -5 appears in PQ but not in QP. Therefore, the answer is -5.
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The numbers on PQ but not on QP are -7 and -6. Hence the correct option is c.
To find the number that is on PQ but not on QP, we need to identify the numbers between -8 and -3.
The numbers between -8 and -3 are -7, -6, and -5.
Now, let's consider the number line representation of PQ and QP:
PQ: -8 -7 -6 -5 -3
QP: -3 -5 -6 -7 -8
From the comparison, we can see that -7 and -6 are on PQ but not on QP.
So, the answer is:
The numbers on PQ but not on QP are -7 and -6. Hence the correct option is c.
Complete question:
Points P and Q are at the following locations on a number line. P is at -8. Q is at -3. Which number is on PQ but not on QP?
O-10
O-5
O-7 and -6.
Every number on PQ is also on QP