Bunuel wrote:

If j and k are even integers and j < k, which of the following equals the NUMBER OF [how many] even integers that are greater than j and less than k ?

A. \(\frac{(k -j -2)}{2}\)

B. \(\frac{(k -j -1)}{2}\)

C. \(\frac{(k -j )}{2}\)

D. \(k -j\)

E. \(k -j -1\)

onyx12102 wrote:

Hey guys

How do I know which values to choose for substitution because I tried j=2 and k=4 and couldn't get the right answer.

onyx12102 , whoops! I think you misread the question. Easy mistake. I can't tell which part of the prompt you misread.

See highlight. Meaning: How many

other even integers are between one even integer ("\(j\)") and another even integer that is greater than j, i.e. "\(k\)"?

I believe in whatever works. Maybe a number line?

Even integers:

<--(-2)---0---2---4---6---8---10--->

\(j\) is one of those integers. So too is \(k\). And k > j

You picked j = 2, k = 4

<-(-2)---0---

2---4---6---8---10--->

How many EVEN integers are greater than \(j\) and less than \(k\) (between)? None.

So to choose values for j and k:

1) choose something small for j (not 0, tho' it works) and something greater for k;

2) Put some distance between j and k. You need the quantity of OTHER even integers before you get to the answer choices

Try j = 2, k = 14

<--0---

2---{4---6---8---10---12}---

14-->

WHICH even integers are greater than j and smaller than k

(Identify them): {4, 6, 8, 10, 12}

How many? (Count them.) There are 5

Now plug in.

-- Use k = 14, j = 2

-- Your answer is 5*

The set {4, 6, 8, 10, 12} has

5 even integers

-- Find the answer that matches your answer of

5 Hope that helps.

*There are 5 even integers that are greater than J and smaller than k.
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