Algebra What is the range of possible values for x?
Step 1 Find an upper limit for the value of x.
How do you put upper and lower limits on the value of x?
Use the largest possible value of
Step 2 Find a lower limit for the value of x.
Rewrite
What is the range of possible values for x in the figure below?
Given:
Prove:
Statement | Reasons |
---|---|
1)
|
1) Given |
2)
|
2) Reflexive Property of Equality |
3)
|
3) Given |
4)
|
4) Converse of the Hinge Theorem |
5)
|
5) Angle Addition Postulate |
6)
|
6) Comparison Property of Inequality |
7)
|
7) Transitive Property of Inequality |
How do you know
Use the Transitive Property of Inequality on the inequalities in Statements 4 and 6.
Given:
Prove: