Given:
The figure.
To find:
The segment bisector of MN and value of MN.
Solution:
From the given figure it is clear that ray RP,i.e.,
is the segment bisector of MN because it divides segment MN in two equal parts.
Now,


Since,
is the segment bisector of MN, therefore,



Therefore, the length of MN is
.
Answer:
The solution set would be all real numbers
Step-by-step explanation:
Remember that you should pass from one side to the other the terms which are similar, that is to say x with x and numbers with numbers. In doing so you must be sure to change the sign of the term if it is passed from one side to the other.
In this case it would be:
4x + 7x + 1 < 11x + 2
(Four plus seven is 11)
11x + 1 < 11x + 2
We can see that x is eliminated, because we change the sign on 11 to be -11:
11x - 11x + 1 < 2
1 < 2
This result means that no matter which value we give to x, the inequality will be always true. For that reason the answer is all real numbers