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What is the value of the rational expression below when [tex]$x$[/tex] is equal to 6?

[tex]\frac{x-2}{x-5}[/tex]

A. 3
B. [tex]\frac{2}{5}[/tex]
C. 8
D. 4

Sagot :

GinnyAnswer
To determine the value of the rational expression [tex]\(\frac{x-2}{x-5}\)[/tex] when [tex]\(x = 6\)[/tex], we need to substitute [tex]\(x\)[/tex] with 6 in the expression.

Let's go through the steps:

1. Substitute [tex]\(x = 6\)[/tex] into the expression:
[tex]\[ \frac{6-2}{6-5} \][/tex]

2. Simplify the numerator:
[tex]\[ 6 - 2 = 4 \][/tex]

3. Simplify the denominator:
[tex]\[ 6 - 5 = 1 \][/tex]

4. Now we have:
[tex]\[ \frac{4}{1} \][/tex]

5. Simplify the fraction:
[tex]\[ \frac{4}{1} = 4 \][/tex]

Therefore, the value of the rational expression when [tex]\(x = 6\)[/tex] is 4.

So, the correct answer is:

D. 4
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