Solve the Absolute Value Inequality $$| 4 x - 6 | + 1 > - 8$$

question 212

Multiple Choice

Solve the absolute value inequality. Other than ∅, use interval notation to express the solution set and graph the
solution set on a number line.
- $$| 4 x - 6 | + 1 > - 8$$

• A) \(( - \infty , \infty )\)
• B) \(\left( - \frac { 3 } { 4 } , \infty \right)\)
• C) \(\left( - \frac { 3 } { 4 } , \frac { 15 } { 4 } \right)\)
• D) \(\varnothing\)

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Definitions:

Scatterplot

A graphical representation of data points plotted on a horizontal and vertical axis to visualize the relationship between two variables.

Dependent Variable

The variable in a study that is anticipated to vary as a result of changes made to the independent variable.

Correlation Coefficient

A numerical measure that assesses the strength and direction of a linear relationship between two quantitative variables.

Covariance Value

A measure indicating the extent to which two variables change together, showing if increases in one variable correspond to increases in another.