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3 years ago

For what values of x is the rational expression below undefined?

1 answer:

5 0

(x-4)/(3)(x+5)(x-5)

In order for the rational expression to be undefined, the denominator must be equal to 0.

Thus, set 3(x+5)9(x-5)=0

x=5 and -5

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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!

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