Now with the first four inequalities in the table the

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Unformatted text preview: reater than) and £ (less than or equal to). What we want to discuss is some notational issues and some subtleties that sometimes get students when the really start working with inequalities. First, remember that when we say that a is less than b we mean that a is to the left of b on a number line. So, -1000 < 0 is a true inequality. Next, don’t forget how to correctly interpret £ and ³ . Both of the following are true inequalities. 4£4 -6 £ 4 In the first case 4 is equal to 4 and so it is “less than or equal” to 4. In the second case -6 is strictly less than 4 and so it is “less than or equal” to 4. The most common mistake is to decide that the first inequality is not a true inequality. Also be careful to not take this interpretation and translate it to < and/or >. For instance, 4<4 is not a true inequality since 4 is equal to 4 and not strictly less than 4. Finally, we will be seeing many double inequalities throughout this section and later sections so we can’t forget about those. The following is a double inequality. -9 < 5 £ 6 In a double inequ...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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