6
QuizMultiple Select

Graphing Two-Variable Linear Inequalities

Question 6 • APSB 2025 Math Essentials-ALP

Which points are solutions to the linear inequality y < 0.5x + 2? Select three options.

Answer
A
(–3, –2)
B
(–2, 1)
C
(–1, –2)
D
(–1, 2)
E
(1, –2)

Explanation

Substitute each point’s x-value into y < 0.5x + 2 and check whether its y-value is smaller. For (–3, –2), the right side is 0.5, and –2 < 0.5; for (–1, –2), it is 1.5, and –2 < 1.5; for (1, –2), it is 2.5, and –2 < 2. These points are solutions: A, (–3, –2); C, (–1, –2); and E, (1, –2).

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