Question 18
InequalitiesFind the inequality which represents the shaded portion in the diagram above.
- A.2x − y − 2 ≤ 0
- B.2x − y − 2 ≥ 0
- C.2x − y − 2 < 0
- D.2x − y − 2 > 0
Show the answer and explanation
Answer: B (2x − y − 2 ≥ 0)
Explanation
Test a point in the shaded part, such as (3, 0): 2(3) − 0 − 2 = 4, which is positive. The boundary line is solid, so it is included: 2x − y − 2 ≥ 0.