I have a 5. In my ones place.The digit in my tens place is. 3 plus the digit in my ones place.The digit in my. Hundreds place is
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Answer:
The statement is false.
Step-by-step explanation:
Let a and b represent two odd integers.
The average (A) is defined by:
A=
In order to prove the statement, you have to show that it's true for all odd integers. But, to disprove it, you just have to find a counterexample where the statement is false.
Notice that it is easier to try to find a counterexample.
For example, a=3 and b=5
A=
The result of the average is even, therefore the statement is false.
The previous calculation is a counterexample.
For this case we have to:
x: Let the variable representing the unknown number
We algebraically rewrite the given expression:
Twice a number plus 10, is represented as:
Three times that number less 4. is represented as:
Thus, the complete expression is:
Subtracting 3x from both sides of the inequality:
Subtracting 10 from both sides of the inequality:
Equal signs are added and the same sign is placed:
We multiply by -1 on both sides, taking into account that the sense of inequality changes:
The solution is given by all values of "x" less than 14.
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