Find the Solution Set for the Equation $$| 7 x - 7 | + 4 = 1$$

question 21

Multiple Choice

Find the solution set for the equation.
- $$| 7 x - 7 | + 4 = 1$$

• A) \(\left\{ \frac { 4 } { 7 } , - \frac { 10 } { 7 } \right\}\)
• B) \(\left\{ \frac { 10 } { 7 } , - \frac { 4 } { 7 } \right\}\)
• C) \(\left\{ \frac { 4 } { 7 } \right\}\)
• D) \(\varnothing\)

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Definitions:

Function

A correspondence between an array of inputs and a choice of outputs, with the rule that each input associates with just one output.

Speed

The rate at which an object moves, calculated as distance traveled per unit of time.

\(f ( x )\)

A symbolic representation of a function in terms of \(x\), where \(f\) denotes the function and \(x\) represents the variable.

Graph

A diagram representing mathematical relationships between variables, typically plotted with an x-axis and a y-axis.