Is the value of the fraction 7−2y/6 greater than the value of the fraction 3y−7/12 ?

Complete Question:

Is the value of the fraction 7−2y/6 greater than the value of the fraction 3y−7/12 ?  For what values?(Make sure to use an inequality)

y < 3

Step-by-step explanation:

The given two fractions are:

and

We have to tell for which range of values is the value of first fraction larger than the second fraction. This can be done by setting up an inequality as shown:

The range of y which will satisfy this inequality will result in first fraction of larger value as compared to the second fraction.

Multiplying both sides of inequality by 12, we get:

This means, for y lesser than 3, the value of first fraction is larger than the second one.

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step-by-step explanation:

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