Algebra-1

Question Analysis
This question assesses the student's ability to find a point within the solution region of a system of inequalities. The student must understand how to graph the inequalities and identify the overlapping shaded area.

Key Concept Explanation
The solution to a system of inequalities is the region where all individual solution regions overlap. This region can be identified by graphing each inequality and finding the intersection of the shaded areas.

Step-by-step Solution
1. Graph the first inequality . The boundary line is solid because the inequality includes equality.
2. Graph the second inequality . The boundary line is solid because the inequality includes equality.
3. Identify the overlapping shaded area, which represents the solution region.
4. Check the point (1, 4) to see if it lies within the solution region. Substitute and into both inequalities:
For

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