The Modulus Sign #2

So now let us look at a simple relationship that many students memorise instead of understand. Below, we see a absolute function graph.

Credits: Wikipedia

Now we all know that $|x|<a$ gives us $-a<x<a$ . So how did that happen? Consider drawing a horizontal line, $y=a$ in the graph above. $|x|$ is less than $a$ only when $-a<x<a$ . Similarly, $|x|>a$ is true only when $x>a$ or $x<-a$ . I do hope that the graphical representation helps here.

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KS Teng

KS has been teaching H2/H1 Mathematics and IB mathematics for the more than 10 years. Having taught students from all various Junior Colleges, KS adapts to students' abilities and help them better understand the topics. As someone who loves to teach mathematics and sees it as a truly useful tool in life, KS seeks to enable students to appreciate math. Therefore, his tuition mission is to motivate and cultivate students to be independent and confident thinkers.

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List of Great and Helpful Math Articles – The Culture
[…] 19. Difference between H1 and H2 Math 20. Partial Fractions made easy 21. The Modulus Sign #1 22. The Modulus Sign #2 23. The Modulus Sign #3 24. The Modulus Sign #4 25. An easier approach to remembering discriminant […]
May 1st, 2016 04:07 PM

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