It should be noted that a relation that's both symmetric and antisymmetric is R = {a, b) | a= b}.
<h3>What is a relation?</h3>
A relation in mathematics simply means the relationship between two or more variables.
In this case, the relation that's both symmetric and antisymmetric is R = {a, b) | a= b}.
On the other hand, a relation on a set that is neither symmetric nor antisymmetric will be R = {a, b) | a < = b}
This is not symmetric because a < b and v < a can never be butt true.
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Supposing you want this equation to be solved for a: we start with
Subtract 21 from both sides:
Multiply both sides by 5:
Change sign to both sides:
We have this equation:
First, combine both logarithms using the multiplication property and simplify the expression.
Now, use the definition of logarithm to transform the equation.
Finally, use the quadratic formula to solve the equation.
With this, we can say that the solution set is:
We cannot choose x = -100 as a solution because we cannot have a negative logarithm. The only solution is x = 1.
5th term = a1 + 4d = 34
10th term = a1 + 9d = 43
subtracting first equation from the second gives:-
5d = 9 so d = 9/5 or 1.8
first term a1 = 34 - 4(1.8) = 26.8
Sum of first 20 terms = (20/2)[2(26.8) + 19*1.8]
= 10* 87.8
= 878