Question

$\sf\large\green{\underbrace{\red{Question*}}}:$
Solve for y
$\frac{y}{3} > 7 - \frac{y}{2}$
​

Answer 1

Answer:

$y > \boxed{\cfrac{42}{5} }$

Step-by-step explanation:

Given inequality:

$\cfrac{y}{3} > 7 - \cfrac{y}{2}$

To solve for y.

Solution:

Rewrite the inequality as,

• $\displaystyle \frac{1y}{3} > \frac{ - 1}{2} y + 7$

Adding 1/2y to both sides,

• $\cfrac{1}{3} y + \cfrac{ 1 }{2} y > \cfrac{ - 1}{2}y + 7 + \cfrac{1}{2} y$

• $\cfrac{5}{6} y > 7$

Multiplying both sides by 6/5:

• $\cfrac{6}{5} \times \cfrac{5}{6} y > \cfrac{6}{5} \times 7$

• $y > \boxed{\cfrac{42}{5} }$

Value of y is 42/5.