Lesson18

# Lesson18 - Ma 15200 I Representing an Inequality Lesson 18...

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1 Ma 15200 Lesson 18 Section 1.7 I Representing an Inequality There are 3 ways to represent an inequality. (1) Using the inequality symbol (sometime within set-builder notation), (2) using interval notation, and (3) using a number line graph. The following table illustrates all three ways. Notice that interval notation looks like an ordered pair, sometimes with brackets. When writing the ordered pair, always write the lesser value to the left of the greater value. A parenthesis next to a number illustrates that x gets very, very close to that number, but never equals the number. A bracket next to a number means it can equal that number. With or -∞ a parenthesis is always used, since there is not an exact number equal to or -∞ . Table 1.4 on page 174 of the textbook also illustrates the 3 ways to represent an inequality where a < b . Ex 1: Write this inequality in interval notation and graph on a number line. { x | x > 1}

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2 Ex 2: Write the set of numbers represented on this number line as an inequality and in interval notation. ( ] 3.5 5.7 Ex 3: Write the following as an inequality and graph on a number line. ] 5 , ( -∞ Examine the number line below. ] ( In set-builder notation, it would be represented as { | 6 1} x x or x ≤ - > and in interval notation, it would be represented as ( , 6] (1, ) -∞ - . II
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Lesson18 - Ma 15200 I Representing an Inequality Lesson 18...

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