1. opposite

2. larger
C A
longer
BC AB

3. longest
largest
101

4. QR < PQ < RP 53 37
2.5mi
2mi
1.5mi

5. AB BC
This is really the only one you need
to look at. If the two shorter sides are
greater than the longest side, your
triangle will work.
AB BC
BC AB

6. < x <
4 < x < 24
I prefer to think of it
as a compound inequality
where I take the difference
and sum of the 2 sides. 4 24 24
greater than 4 and
less than 24

7. < x <
6 < x < 40
The third side of the triangle must
be greater than 6 meters but less
than 24 meters.