Answer: (2, 3).
- A (2, 3)
- B (0, 0)
- C (1, 1)
- D (-1, -1)
Correct answer: A. (2, 3)
Explanation: At (2,3): 2(2)+3 = 7 > 4 is true, and 2-3 = -1 < 1 is true, so both conditions hold. The other points all fail the first condition, since 2x+y is at most 3 for each of them.
One-variable inequalities use open (excluded) or closed (included) circles on a number line; two-variable inequalities use a dashed (strict) or solid (non-strict) boundary line, with the solution being the entire shaded half-plane on one side of it.
Concept context
Solving linear inequalities in one and two variables algebraically and graphically, and representing solutions on a number line or as a region in a plane.