Answer:
Step-by-step explanation:
The two sides add up to 12. If the third "side" of the triangle is 12, then 5 and 7 will lie horizontally on 12.
So the maximum value must be less than 12. What's the smallest x could be?
well 5 + something must be > than 7. If they are not larger than 7, then 5 and something will lie on 7 just as it did before. So how big is something?
5 + y > 7
5 - 5 + y > 7 - 5
y > 2
So the range is 2 < x < 12
How else could you write this?
2 < x
x < 12 is one way.
