Question

Do i need to flip the reciprocal please explain your answer 2y/2 < 10/2

Answer 1

Answer:

$\displaystyle \large \boxed{y < 5}$

Step-by-step explanation:

We are given the Inequality:

$\displaystyle \large{ \frac{2y}{2} < \frac{10}{2} }$

First, we can simplify the expression. On the left side of Inequality, we can cancel 2; on the right side, we can cancel 2 out as well.

Simply, division!

$\displaystyle \large{ \frac{ \cancel{2}y}{ \cancel{2}} < \frac{ \cancel{10}}{ \cancel{2} }}$

2 divides 2 is 1; 2 divides 10 is 5.

$\displaystyle \large{ \frac{1y}{1} < \frac{ 5}{ 1}}$

Generally, it is not recommended to write 1 beside the variable nor write 1 as a denominator.

Simplify the expression:-

$\displaystyle \large{ y < 5}$

Therefore, the value of y is less than 5.

Let me know if you have any questions after reading the explanation!