Answer:
[tex]x< 3+4\: and\\\left | 3-4 \right |<x<\left | 3+4 \right |[/tex]
Step-by-step explanation:
1. Well, when it comes to triangles. Mainly Pythagorean Triple, right triangles whose sides are 3,4,5 or 5,11,12
2. Keeping in mind this a Pythagorean Triple, then x=5
3. Then we can write it as Compound Inequality by combining the Statements for an Inequality of Triangle:
We can write it as
[tex]5<3+4\\\left | 4-3 \right |<5<\left | 4+3 \right |[/tex]
Or we can do:
[tex]4<3+5\\\left | 4-5 \right |<4<\left | 4+5 \right |[/tex]
and:
[tex]3<4+5\\\left | 4-5 \right |<3<\left | 4+5 \right |[/tex]
4. Writing in terms of x:
[tex]x<3+4\\\left | 3-4 \right |<x<\left | 3+4 \right |[/tex]
