Before delving into graphing linear inequalities in two variables, an instructional readiness quiz checks the student's prerequisite ability to solve single-variable inequalities. The student is prompted to solve the inequality $4x + 3 > 23$. This standard exercise requires the student to properly isolate the variable by first subtracting $3$ from both sides to obtain $4x > 20$, and subsequently dividing by $4$ to securely discover the solution $x > 5$. This step actively tests whether the learner possesses the fundamental algebraic skills needed to proceed to more advanced graphing.