What is the solution to the system of equations?
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Answer:
Step-by-step explanation:
We are given the function:
Remember that by the definition of absolute value:
Our absolute value is:
First, we will find when it becomes 0. Set the equation equal to 0:
Solve for <em>x: </em>
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So, we can see that for all values greater than <em>x </em>= 5/2, 2x - 5 is positive.
For all values less than <em>x </em>= 5/2, 2x - 5 is negative.
Therefore (the positive case go above, and the negative case go below):
Finally, we can add a three:
Simplify if desired: