Question

(100 pts.)

Determine whether the following statement is sometimes, always, or never true. Justify your answer.

If line XY is on a number line and point W is 2/5 of the distance from X to Y, then the coordinate of point W is greater than the coordinate of point X.

Answer 1

w is situated at 2/5th of the distance X and Y .

If XY be X

then

• XW=X/5×2=2x/5
• YW=3x/5

Hence

• X-W-Y
• or Y-W-X

Hence its sometimes true