Final answer:
To construct a point X on ray CD such that AB < CX, follow these steps: Draw segment AB and ray CD. Use a compass to draw an arc with center A and any radius, intersecting ray CD at point X'. Construct a ray passing through point C and X'. Draw a line parallel to ray CD through point B, intersecting the ray you just constructed at point X. Now you have point X on CD such that AB < CX.
Step-by-step explanation:
To construct a point X on ray CD such that AB < CX, you can follow these steps:
- Draw segment AB and ray CD.
- Use a compass to draw an arc with center A and any radius, intersecting ray CD at point X'.
- Construct a ray passing through point C and X'.
- Draw a line parallel to ray CD through point B, intersecting the ray you just constructed at point X.
Now you have point X on CD such that AB < CX.