Question 17
InequalitiesThe solution of the simultaneous inequalities 2x − 2 ≤ y and 2y − 2 ≤ x is represented by
- A.Graph A
- B.Graph B
- C.Graph C
- D.Graph D
Show the answer and explanation
Answer: B (Graph B)
Explanation
The boundary lines y = 2x − 2 and y = ½x + 1 both slope upwards and meet at (2, 2). The region lies above the steeper line and below the gentler one, the wedge opening to the left, which is graph B.