Question

on a numbet line, co-ordinate of P,Q,R are 3,-5 and 6 respectively .State with reason weather the following statement are true or false .: d(P,Q)+d(Q,R) = d(P,R)​

Answer 1

Answer:

FALSE

Step-by-step explanation:

The co-ordinates of points P and Q are 3 and -5 respectively. We know that 3 > -5.

Now, d(P, Q) = 3 - (-5) = 3 + 5 = 8 =

The co-ordinates of points Q and Rare -5

and 6 respectively. We know that 6 > -5.

Now, d(Q, R) = 6 - (-5) = 6 + 5 = 11 = =

The co-ordinates of points P and Rare 3 and 6 respectively. We know that 6 > 3.

Now, d(P, R) = 6 - 3 = 3

d(P,Q) - d(P,R) = 8 - 3 = 5; d(Q,R) = 11 =

So, d(P,Q) - d(P,R) = d(Q,R)

Hence, the given statement is false.