Question

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

Answer 1

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

Explanation:

We are given the Inequality:

`\displaystyle \large{ (2y)/(2) < (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{ (1y)/(1) < ( 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!