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HigherNon-calculatorA22 Linear and quadratic inequalities

Question 1 · 4 marks

Spec and skills
  • Paper scope: Paper 1: non-calculator practice
  • Spec A22
  • Original practice question
  • Answer and supported method checks
The region RR contains all the points (x,y)(x, y) that satisfy all three inequalities: y≥1y \ge 1, x+y≤6x + y \le 6 and y≤2xy \le 2x.
(a)
Find the coordinates of the vertices of RR. Write down the vertex with the largest xx-coordinate.
2 marks
(,)