WK3 DQ1 - -2 or -6 < -14 Whereas 14 is to the right of 6...

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WK3 DQ1 Due Date: Week Three, Day 2 [post to the Main forum] Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equations? Why or why not? Write an inequality for your classmates to solve. In your inequality, use both the multiplication and addition properties of inequalities. The inequality sign changes when both sides are multiplied or divided by a negative number to make the inequality true. Let look at this true inequality 3 < 7. If we multiply both sides by a positive number (2), we get another True inequality. Example of a Positive Number: 3 x 2 < 7 x 2 or 6 < 14 If we multiply both sides by a negative number (-2), we get False inequality. Example of a Negative Number: 3 x -2 < 7 x
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Unformatted text preview: -2 or -6 < -14 Whereas 14 is to the right of 6 on the number line, the number -14 is to the left of -6. Thus if we reverse the inequality symbol we get a true inequality. This does not happen with equations because you have an equal sign that looks for one number as the solution to make the equation True, and with an inequality you are looking for a solution set to make the inequality True. In an equation both sides will equal the same number to make the statement True. There is no flipping the equal sign or replacing it with another symbol. In an inequality both side are not always equal and have multiple solutions, and to make the statement True it is either < or >; ≤ or ≥. For the Class to Solve: 3x – 5 ≤ 13...
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This note was uploaded on 06/26/2011 for the course MAT 116 taught by Professor Universityofphoenix during the Spring '09 term at University of Phoenix.

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