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Published byGervais Bryce Short Modified over 9 years ago

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Intersection of Intervals This presentation will focus on compound inequalities using the word and. A compound inequality is formed when two inequalities are joined using either the word and or the word or. An example of such a compound inequality is …

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When working with a compound inequality, think intersection. The intersection of two sets is the set of elements that are common to both sets. The symbol ∩ is used to represent intersection.

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Consider how two streets come together to demonstrate this concept. The intersection of the two streets is the portion of pavement that is common to both. Harmony Street Shields Street

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Example 1 Find the intersection of the two inequalities: and We want to find the values of x that are common to both inequalities. A graph will assist in accomplishing this.

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Graph the points on the line that are common to both graphs. The solution is The interval notation answer is

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Example 2 Find the intersection of the two inequalities: and We want to find the values of x that are common to both inequalities. A graph will assist in accomplishing this.

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Graph the points on the line that are common to both graphs. The solution is The interval notation answer is

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