Answer:
a) 13, 10, 16
Step-by-step explanation:
The usual form of the triangle inequality requires the sum of the two shortest sides exceed the longest side (a+b>c). The only choice for which this is true is ...
10 + 13 > 16 . . . . choice A
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<em>Comment on the triangle inequality</em>
Some authors also allow the sum to equal the longest side (a+b≥c). In that case, choice B (1+2=3) is also an answer. This "triangle" would look like a line segment of length 3. It has zero area.
Given:

To find:
The simplified expression by factoring.
Solution:
Let us factor the numerator:

31x can be written as 3x + 28x.

Take 3x common in 1st two terms and 7 common in next two terms.

Make sure the remaining terms in the both brackets must be same.
Now, take out common factor (4x + 1).

In the same way, factorize the denominator:

8x can be written as 4x + 4x.

Take 4x common in 1st two terms and 1 common in next two terms.

Make sure the remaining terms in the both brackets must be same.
Now, take out common factor (4x + 1).

Substitute the terms we found for numerator and denominator:

Cancel the common factors.

The simplified expression is
.
Answer:
Identity Property of Multiplication Definition. This property is also known as the multiplication property of 1. It states that the result of multiplying any real number by 1 is the number itself.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The interval [4, ∞) all real numbers 4 and greater, whereas the interval (4,∞) not includes the endpoint 4.