QUESTION 5 A take-away shop used a sample group of 100 matric leamers to research favourite take-away meals. The result is as follows: 58 learners like burgers . 53 learners like pizza • 38 learners like pasta 16 learners like pizza and pasta • * learners like burgers and pizza, but not pasta • 18 learners like burgers and pasta • 10 learners do not eat take-away meals 5 learners like burgers, pizza and pasta (5) 5.1 Draw a VENN diagram to represent the data. 52 Determine how many learners like burgers and pizza, but not pasta. 53 Determine the probability that a leamer chosen at random likes only TWO of the take-away meals. (4)

Use the following statements to write a compound statement for the conjunction or disjunction. then find its truth value. p: an isosceles triangle has two congruent sides. q: a right angle measures 90° r: four points are always coplanar. s: a decagon has 12 sides. a) a right angle measures 90° or an isosceles triangle has two congruent sides; true. b) a right angle measures 90° and an isosceles triangle has two congruent sides; true. c) a right angle measures 90° and an isosceles triangle does not have two congruent sides; false. d) a right angle measures 90° or an isosceles triangle does not have two congruent sides; true.