Answer: The required length of MQ is 4 units.
Step-by-step explanation: Given that the point M lies between the points C and Q, where
CM = 17 and CQ = 21.
We are to find the length of MQ.
Since the point M is between the points C and Q, so we must have
[tex]CM+MQ=CQ\\\\\Rightarrow MQ=CQ-CM\\\\\Rightarrow MQ=21-17\\\\\Rightarrow MQ=4.[/tex]
Thus, the required length of MQ is 4 units.