Which point $(x, y)$ is a solution to the linear inequality $y < 2x - 3$ in the xy-plane?
A$(0, 0)$
B$(1, 0)$
C$(4, 1)$
D$(2, 5)$
Answer & Solution
Correct answer: C. $(4, 1)$
For each point, evaluate $2x - 3$ and check whether $y$ is less than that value. (4, 1): $2(4) - 3 = 5$, and $1 < 5$ ✓. (0, 0): $-3$, and $0 < -3$ is false. (1, 0): $-1$, and $0 < -1$ false. (2, 5): $1$, and $5 < 1$ false.
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