MAT1501 Oct/Nov 2024 exam paper — questions

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  1. Question 1.(a) · Sets, intervals and number lines · 1 mark

    Let A be the set of real numbers x such that x > -3, that is A = {x ∈ R : x > -3}, and let B be the interval (-4; 5]. Draw separate number lines to sketch the set A = {x ∈ R : x > -3} and the interval B = (-4; 5], showing each set on its own number line.Show the full question

  2. Question 1.(b) · Sets, intervals and number lines · 1 mark

    Let A be the set of real numbers x such that x > -3, that is A = {x ∈ R : x > -3}, and let B be the interval (-4; 5]. Given A = {x ∈ R : x > -3} and B = (-4; 5], express the union A ∪ B using set builder notation.Show the full question

  3. Question 1.(c) · Sets, intervals and number lines · 1 mark

    Let A be the set of real numbers x such that x > -3, that is A = {x ∈ R : x > -3}, and let B be the interval (-4; 5]. Using A = {x ∈ R : x > -3} and B = (-4; 5], draw a single number line showing the set A ∪ B.Show the full question

  4. Question 1.(d) · Sets, intervals and number lines · 1 mark

    Let A be the set of real numbers x such that x > -3, that is A = {x ∈ R : x > -3}, and let B be the interval (-4; 5]. Given A = {x ∈ R : x > -3} and B = (-4; 5], express the intersection A ∩ B using set builder notation.Show the full question

  5. Question 1.(e) · Sets, intervals and number lines · 1 mark

    Let A be the set of real numbers x such that x > -3, that is A = {x ∈ R : x > -3}, and let B be the interval (-4; 5]. Using A = {x ∈ R : x > -3} and B = (-4; 5], draw a single number line showing the set A ∩ B.Show the full question

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