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ValentinkaMS [17]
2 years ago
15

le="\sf\large\green{\underbrace{\red{Question*}}}:" alt="\sf\large\green{\underbrace{\red{Question*}}}:" align="absmiddle" class="latex-formula">
Solve for y
\frac{y}{3}  > 7 -  \frac{y}{2}
​
Mathematics
1 answer:
matrenka [14]2 years ago
7 0

Answer:

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

Step-by-step explanation:

Given inequality:

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

To solve for <em>y.</em>

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.

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