c) The two inequalities graphed on the set of axes form a system. Oscar think
that the point is in the solution set for this system of inequalities. Determ
and state whether you agree with Oscar. Explain your reasoning.

To determine if the point is in the solution set for the system of inequalities, you need to check if this point satisfies both inequalities. Substitute and into each inequality. If the point meets the conditions of both, it’s part of the solution set! If it falls outside of either inequality, then Oscar’s conclusion is incorrect. Always plot the inequalities accurately to visually confirm as well.

Remember that when working with inequalities, be cautious about the region you select. It’s easy to misinterpret the graphed lines and shading. Common mistakes include not considering whether the inequality is strict (using ‘<’ or ‘>’) or inclusive (using ‘≤’ or ‘≥’), which affects whether the boundary line is included in the solution. Double-check your work for a comprehensive understanding!