For any integer x, x^2-x will always produce an even value. True or false
1 answer:
That true. You have two ways to show it:
Method 1:
Factor the expression. You have
So, you're multiplying two consecutive numbers. One of them must be even, and if a factor of a product is even, the result will be even.
Method 2:
If x is even, is even as well. So,
is a subtraction between even numbers, which gives an even number.
If x is odd, is odd as well. So,
is a subtraction between odd numbers, which gives an even number.
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We are going to be checking each statement in order to find which of them are correct:
<h2>5/6 < 6/8 - 5/6 is smaller than 6/8</h2>We can see that in the drawing 3/8 is smaller than 5/6. Then this statement is false.
<h2>4/6 < 5/8 - 4/6 is smaller than 5/8</h2>
We can see that in the drawing 5/8 is smaller than 4/6. Then this statement is false.
<h2>2/6 = 3/8 - 2/6 is equal to 3/8</h2>
We can see that in the drawing 3/8 is bigger than 2/6. Then this statement is false.
<h2>3/6 = 4/8 - 3/6 is equal to 4/8</h2>
We can see that in the drawing 4/8 is equal to 3/6. Then this statement is true.
<h2>Answer: 3/6 = 4/8</h2>