Given: A value of x as-
Required: To determine the position of the given x value with respect to the line-
Explanation: A function's absolute value always gives a positive value.
So for the given x value, we have
Since the given x is a positive real number, it will not be affected by the modulus function.
Now, x=a is a vertical line parallel to the y-axis and at 'a' distance from it.
Therefore the graph of both lines are
The red graph represents the graph of x=7/4 while the green line represents the line x=-3/2.
The distance of green line from y-axis is-
Similarly red line is at -
Since,
We see that line x=7/4 is further from the y-axis than line x=-3/2.
Final Answer: Option C is correct.