Solve the Inequality $$\frac { 1 } { 2 } ( x - 2 ) - \frac { 3 } { 4 } ( x - 2 ) \geq \frac { 1 } { 5 } x + 1$$

question 272

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $$\frac { 1 } { 2 } ( x - 2 ) - \frac { 3 } { 4 } ( x - 2 ) \geq \frac { 1 } { 5 } x + 1$$

• A) \(\left[ - \frac { 10 } { 9 } , \infty \right)\)
• B) \(\left( - \infty , - \frac { 10 } { 9 } \right]\)
• C) \(\left[ - \infty , \frac { 2 } { 3 } \right]\)
• D) \(\left[ \frac { 2 } { 3 } , \infty \right]\)

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Definitions:

Mean Square

A statistical measure used primarily in the context of ANOVA, representing the average of the squares of differences from the mean, indicative of variance.

Main Effect

The direct impact of an independent variable on a dependent variable in an experimental study, ignoring the effects of other independent variables.

Factor A

In experimental design, a variable that is deliberately manipulated to observe its effect on a dependent variable, often referred to as an independent variable.

Critical Value

The threshold value that a test statistic must exceed in order to reject the null hypothesis in a statistical test.