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RoseWind [281]
2 years ago
11

5<2y<12 where y is an integer. Write down all the possible values of y.

Mathematics
1 answer:
frozen [14]2 years ago
8 0

Answer:

y = 3, 4, or 5

Step-by-step explanation:

<u />

<u>Step 1; Simplify the Double Inequality</u>

Let's first simplify this double inequality to make answering this problem a bit easier. This means getting the middle term to be just y, without any added constant or coefficients.

In this case, this is a fairly simple process, as all we have to do to get y by itself is just divide the <em>entire inequality</em> by 2. This means that we will also divide the 5 and 12 by 2. (Note that the signs stay the same because we are not dividing by a negative number.)

Doing so gives us the following double inequality: 2.5 < y < 6.

<u>Step 2: Identify the Integers in this Range</u>

Now that we have a simplified double inequality, all we need to do is find all of the integers in its range. (Recall that an integer is <u>any number that is not a fraction when fully simplified (ex. …-1, 0, 1...)</u>.)

In other words, we need to find all of the integers <em>in between</em> 2.5 and 6. Note that we don't include 6 because of the "<" sign, which indicates that the 2.5 and 6 are not included in the set. These numbers are 3, 4, and 5, making them your answer. Hope this helps!

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