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SOVA2 [1]
3 years ago
15

How do you solve 6(2/3x-3)>3

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
4 0

Answer:

14>3

Step-by-step explanation:

you would need to turn the 3 in the parenthesis into a fraction which would result in 9/3. 2/3 - 9/3= -7/3      

Multiply the 7/3 by 6 and by what I have always been taught, you only multiply the top of the fraction. This would leave it to be 42/3 which would be known as 14.

So therefore the answer would be 14>3

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2 years ago
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Bingel [31]

Answer:

x < 2

Step-by-step explanation:

We're going to solve this just like we would an equation, but with just one little twist. First, let's add 1/3 to both sides.

5/6x - 1/3 > 1 1/3

5/6x > 1 2/3

First, let's turn 1 2/3 into an improper fraction to make it easier to work with. Multiply the big number by the denominator, then add the numerator.

1 x 3 + 2 = 5

1 2/3 = 5/3

Now, multiply 5/3 by 2/2 to get 6 as the denominator. This works because 2/2 simplifies to 1 and therefore does not change the value of the fraction.

5 x 2 = 10

3 x 2 = 6

5/3 = 10/6

Now divide both sides by 5/6. Because they both have the same denominator, we can cancel the denominator out and just divide 5x/5 and 10/5.

5/6x > 10/6

5x > 10

x > 2

Wait! We don't have the correct answer just yet. Whenever you divide an inequality, you have to flip the inequality sign.

x < 2

Now <em>there's</em> our final answer.

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Step-by-step explanation:

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