Question

`\sf\large\green{\underbrace{\red{Question*}}}:`

Solve for y

`(y)/(3) > 7 - (y)/(2)`
​

Answer 1

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

Explanation:

Given inequality:

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

To solve for y.

Solution:

Rewrite the inequality as,

• 
  `\displaystyle (1y)/(3) > ( - 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} * \cfrac{5}{6} y > \cfrac{6}{5} * 7`

• 
  `y > \boxed{\cfrac{42}{5} }`

Value of y is 42/5.