Question 23. Here is a number line. A1 (a) On this number line, show the inequality < 1 M1 x –3 ≤ (2) (b) Solve 4n + 5 > 22 4n > 22 5; 4n > 17 M1 – Therefore > 17 ÷ 4 n > 4.25 A1 n (2) (Total 4 marks) Question 24. Here is a Venn diagram. (a) Write down the numbers that are in set (i) A B ∪ 10, 12, 14, 15, 16, 18 B1 (ii) A B ∩ 12, 18 B1 (2) One of the numbers in the diagram is chosen at random. (b) Find the probability that the number is in set A' 10, 14, 16, 11, 13, 17, 19 M1 A1 (2) (Total 4 marks)
Question 23. Here is a number line. A1 (a) On this number line, show the inequality –3 ≤ x < 1 M1 (2) (b) Solve 4n + 5 > 22 4n > 22 – 5; 4n > 17 M1 Therefore n > 17 ÷ 4 n > 4.25 A1 (2) (Total 4 marks) Question 24. Here is a Venn diagram. (a) Write down the numbers that are in set (i) A ∪ B 10, 12, 14, 15, 16, 18 B1 (ii) A ∩ B 12, 18 B1 (2) One of the numbers in the diagram is chosen at random. (b) Find the probability that the number is in set A' 10, 14, 16, 11, 13, 17, 19 M1 A1 (2) (Total 4 marks)
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