Solve Rational Equations with Variables in the Denominators
First, Write $$\frac { 6 } { 2 x - 2 } + \frac { 1 } { 2 } = \frac { 3 } { x - 1 }$$

question 350

Multiple Choice

Solve Rational Equations with Variables in the Denominators
First, write the value(s) that make the denominator(s) zero. Then solve the equation.
- $$\frac { 6 } { 2 x - 2 } + \frac { 1 } { 2 } = \frac { 3 } { x - 1 }$$

• A) \(x \neq 1 ; \varnothing\)
• B) \(x \neq 2 ; \{ 1 \}\)
• C) \(\mathrm { x } \neq 1 ; \{ 1 \}\)
• D) \(x \neq - 1,2 ; \{ 1,2 \}\)

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Definitions:

Quantitative Variable

A variable that can be measured and quantified, often expressed in numerical terms.

Outlier

An observation in a data set that is significantly different from the majority of the data, potentially indicating an error or a unique phenomenon.

Cases

Instances or occurrences of a particular condition or category being studied or reported.

Categorical

Refers to a type of data that can be divided into groups or categories that are mutually exclusive.