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satela [25.4K]
3 years ago
14

How to solve for x as a denominator in an inequality?

Mathematics
1 answer:
labwork [276]3 years ago
8 0
Examples :

2/x < 4 ....multiply both sides by x, cancelling it on the left side
2 < 4x ...now divide by 4
2/4 < x
1/2 < x

5/x + 7 > = 12
5/x > = 12 - 7
5/x > = 5 ....multiply by x, cancelling it on the left
5 > = 5x...divide by 5
5/5 > = x
1 > = x


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Answer:

The difference between 4 5/7 and 1 3/4 is 83/28 or 2 27/28

Step-by-step explanation:

First, to make it easier to subtract, let's change these numbers to improper fractions.

4 5/7 = 33/7

1 3/4 = 7/4

Now, we have to find the LCM (least common multiple) between 4 and 7.

4- 4, 8, 12, 16, 20, 24, 28, 32

7- 7, 14, 21, 28, 35, 42, 49

As you can see, the LCM is 28. So, lets change these fractions to have a denominator of 28.

33*4/ 7*4 = 132/ 28

7*7/ 4*7 = 49/ 28

>>132 - 49 = 83

So, the difference between 4 5/7 and 1 3/4 is 83/28 or 2 27/28

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