Quelpr
2 marksSet Operations (Intersection, Union, Complement)

CSEC Mathematics · May/June 2016 · Paper 2 · Question 3(a)(ii)

A Venn diagram shows the number of students studying History (H) and French (F) in a class of 30 students. The diagram shows 18-x students in H only, x students in H and F, 14-x students in F only, and 5 students outside both sets. U represents the set of all students.

State whether the following relationships are true or false: H U F = U and H ∩ F' = Ø.

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Other parts of this question

  1. 3(a)(i)Write an expression, in x, in its simplest form, for the TOTAL number of students in the class.[2 marks]
  2. 3(a)(iii)Determine the number of students who study BOTH History and French.[2 marks]
  3. 3(b)(i)Using a ruler, a pencil and a pair of compasses, construct triangle PQR with PQ = 5 cm, ∠ PQR = 60° and ∠ QPR = 90°.[4 marks]
  4. 3(b)(ii)Measure and state the length of PR and the measure of ∠ PRQ.[2 marks]

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