Question

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

Answer 1

Answer:

The value of the fraction $\dfrac{7-2y}{6}$ greater than the value of the fraction $\dfrac{3y-7}{12}$ for $y$

Step-by-step explanation:

Find for which values the fraction $\dfrac{7-2y}{6}$ is greater than the fraction $\dfrac{3y-7}{12}.$

Solve the inequality:

$\dfrac{7-2y}{6}>\dfrac{3y-7}{12}$

Multiply it by 12:

$2(7-2y)>3y-7\\ \\14-4y>3y-7$

Separate variables and numbers:

$-4y-3y>-7-14\\ \\-7y>-21$

Divide by -7:

$y$

The value of the fraction $\dfrac{7-2y}{6}$ greater than the value of the fraction $\dfrac{3y-7}{12}$ for $y$