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Absolute value and inequalities on the number lineIB MYP Maths Extended: Flashcards

What these 13 flashcards ask

  • What is the absolute value of a number?
  • Find |-12|.
  • Find |3-8|.
  • How do you find the distance between two numbers a and b?
  • What does x\ge3 mean in words?
  • Which circle shows an included end value on a number line?
  • Which circle shows an excluded end value?
  • Read \{x:x2\} aloud.
  • List \{x\in\mathbb{Z}:-2\le x<3\}.
  • Write -1<x\le4 in interval notation.
  • Write x\ge3 in interval notation.
  • Solve |x|<3.
  • Solve |x-10|\le2.

Exam questions on Absolute value and inequalities on the number line

  1. Two points on a number line are at x=−7x=-7 and x=3x=3.
    A third point is exactly 55 units from the point x=−7x=-7. Find the two possible positions of the third point.2 marks
  2. A laboratory freezer must keep its temperature TT (in ∘^\circC) within the range −25≤T<−18-25\le T<-18.
    List all the whole-number temperatures that are allowed.2 marks
  3. The water temperature tt (in ∘^\circC) in a school swimming pool is acceptable if ∣t−27∣≤2|t-27|\le 2.
    Write the acceptable temperatures (i) as a double inequality and (ii) in interval notation.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).