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Interval notation
The next topic that we have to discuss is the idea of interval notation. Interval notation is some very pleasant shorthand for inequalities & will be utilized extensively. The best way to explain interval notation is the following table. There are three columns in the table. Each row has an inequality, a graph representing the inequality & lastly the interval notation for the given inequality.
Recall that a bracket, "[" or "]", means that we involved the endpoint while a parenthesis, "(" or ")", means we don't involved the endpoint.
Now, along with the first four inequalities within the table the interval notation is actually nothing more than the graph without the number line on it. With the last four inequalities the interval notation is approximately the graph, except we have to add in suitable infinity to ensure we get the accurate portion of the number line. Also notice that infinities never get a bracket. They only acquire a parenthesis.
As a fundraiser a school is selling posters.The printer charges a $24 set up fee plus 0.20 for each poster. Then the cost y in dollars to print is given by the linear equation y=0.
5/x-6=x/x-2
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#7.
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-2
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Working together Jack and Bob can clean a place in 30 minutes. On his own, Jack can clean this place in 50 minutes. How long does it take Bob to clean the same place on his own?
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