1. ## Inequalities with Triangles

What can you conclude about AC in the following? as in x < AC < x

1. BC = 7; AC = 2 + AB

2. AB + AC = 5; AC + BC = 4

3. BC + AC = 22; AB + BC = 12

Been working on this all day I just can't seem to figure it out, and no one seems to be able to explain it to me

Sorry if this is posted in the wrong forum, I couldn't tell if this belonged in Algebra or Geometry.

2. Originally Posted by RobertJones
What can you conclude about AC in the following? as in x < AC < x

1. BC = 7; AC = 2 + AB

2. AB + AC = 5; AC + BC = 4

3. BC + AC = 22; AB + BC = 12

Been working on this all day I just can't seem to figure it out, and no one seems to be able to explain it to me

Sorry if this is posted in the wrong forum, I couldn't tell if this belonged in Algebra or Geometry.

Well we know that the sum of the lengths of two sides of a triangle must be greater than the third, so for number 1. you now that 2<AC, since AB is greater than 0

Can you try a similar argument for 2 and 3?