Week Eight Concept Check

Week Eight Concept Check - brackets you know that the...

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Week Eight Concept Check: Describe what the graph of interval [-4,10] looks like. Earlier in the course we learned how to graph inequalities on a number line. We learned that when you see the < or > then the circle above the solution set is not closed in because we know this particular number is not included. When you see the ≤ or ≥ we know that the solution set includes the particular numbers so the circle is closed in. Looking at the given interval we can take what we learned in the past and apply it to this problem. We know that [-4,10] is also written as -4 ≤ x ≤ 10. So on the number line you would have the numbers -4 through 10 plotted and since the inequality includes the two numbers, the circle would be closed in. If you saw the interval (-4,10) it would be a little different. See when intervals are in
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Unformatted text preview: brackets [ ] you know that the inequality includes the number. When intervals are in parentheses ( ) you know the interval does not include the number. So looking at (-4,10) we would write the inequality out as -4<x<10. So the number line would be exactly the same but with one exception: circles are not closed in because the solution set does not include the intervals given in the equation. Now for one more example: [-4,10) you see you have one bracket [ and one parentheses ). So the inequality would be written out as -4 ≤ x < 10. So when graphing this inequality you would close the circle for -4 because this number is included in the solution set, but you would leave the circle open for the number 10 because the number is not included....
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