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Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equat...Asked by Nini
Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equations? Explain
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Answered by
Steve
Multiplying by a negative number is just a quick way of moving things to the other side of the inequality. Consider
-2x < 100
Now, you could solve it without doing any negative multiplying at all: just add 2x to both sides to get
0 < 2x + 100
Now subtract the 100 to get
-100 < 2x
or,
2x > -100
changing the sense of the inequality just means that terms have switched sides in the expression as written.
-2x < 100
Now, you could solve it without doing any negative multiplying at all: just add 2x to both sides to get
0 < 2x + 100
Now subtract the 100 to get
-100 < 2x
or,
2x > -100
changing the sense of the inequality just means that terms have switched sides in the expression as written.
Answered by
Need HELP PLEASE
thank you!
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