Is X an even or odd integer?

We know that x is an integer, but we don’t know if it is even or odd. Let’s test each answer choice twice, first with x being even and then with x being odd. We’ll choose as the correct answer the answer choice that gives us an even result for both x being an odd integer AND x being an even integer.

What does {x | x > 3} mean in math?

Recall that means “a member of”, or simply “in”. is the special symbol for Real Numbers. So x means “all x in “. Thus, { x | x > 3 } means “the set of all x in such that x is any number greater than 3.” (In other words, x is all real numbers greater than 3.) There are other types of numbers besides Real Numbers.

How do you write all integers between 2 and 6?

If you have the set of all integers between 2 and 6, inclusive, you could simply use roster notation to write {2, 3, 4, 5, 6}, which is probably easier than using set-builder notation: { q : 2 ≤ q ≤ 6 }.

How do you prove that X is an even number?

(True) Proof: Let x be an odd number. This means that x = 2n+ 1 where n is an integer. If we square x we get: x 2= (2n+ 1) = (2n+ 1)(2n+ 1) = 4n2 + 4n+ 1 = 2(2n2 + 2n) + 1 which is of the form 2( integer ) + 1, and so is also an odd number. (b) y is an even number )y3 is an even number.

When multiplying odd and even integers the product is even?

When multiplying odd and even integers, if we have at least one even integer then the product is even. When adding and subtracting odd and even integers, we need to have an odd number of integers that are odd to get an odd result. Want more expert GRE prep?

How do you test if x is odd?

First let’s test when x is odd: Since odd 2 = odd · odd = odd, we next get: And finally, we know that even + odd = odd. Since we were able to get an odd integer as a result, we know that A is incorrect.

Is X = even in D?

We still need to check x = even in D before choosing it as the right answer: Ah! So D will ALWAYS be even. The correct answer is D, x 2 + 3 x + 8. Well, that certainly could have taken us a LOT of time if we were moving slowly.