Module 8
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| 3x+1≤-11 and 3x≤0 | When you see the word and you know that you will be looking for the intersection. Simplifying these compound inequalities is the first step.
x≤-4 and x≤0
Solution is (-∞,-4]
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| x+7≥7 and x+5≤4 | Simplified x≥0 and x≤-1
This question has no solution
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| -4x≤-12 or 3x-25≥-10 | Notice the compound inequality has the word OR in it. This means the answer will be the union of the solution sets. Also notice when dividing by a negative the inequality sign will flip.
Simplified x≥3 or x≥5
Solution is [3,∞)
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| x<-8 or x>-5 | Solution (-∞,-8) or (-5,∞)
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| -12<3x-12≤7 | Simplify 0<x≤19/3
Solution (0,19/3]
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| 5x≤-25 and x≤0 | Notice that the the word and separates the two
Simplified x≤-5 and x≤0
Solution (-∞,-5]
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| The intersection of two sets, A and B, is the set of all elements common to both sets. A intersect B is denoted by A n B | Example: A=(x is an even number greater than 0 and less than 10) B=(3,4,5,6) The intersection of the sets is (4,6)
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| The union of two sets, A and B, is the set of elements that belong to either of the sets. A union B is denoted by A U B | Example: A=(x is an even number greater than 0 and less tham 10) B=(3,4,5,6) The Union is (2,3,4,5,6,8)
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| Are you looking for the Intersection or the union in this set 12x<-4 or 5x-17>-15 | Union, Notice that or seperates the two sets
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| Are you looking for the Intersection or the union in this set x≤0 and x≥-2 | Intersection, Notice that the word and seperates the two sets
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
danieldombrowski
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