SOLUTION: why does the inequality sign change when both sides are multiplied by a negative number. Does this happen with equations, why or why not?

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Suppose . Subtracting a+b from both sides does not change the inequality sign:





For example, 3 < 7 but -3 > -7. This does not happen with equations (you can't "flip" an equal sign as you flip an inequality sign).

You can put this solution on YOUR website!
why does the inequality sign change when both sides are multiplied by a negative number.
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2 < 3 means 3 is to the right of 2 on the number scale.
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Multiplying by -1 flips the relationship of the numbers over
the y-axis so -3 is to the left of -2, i.e. -3 < -2
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Does this happen with equations, why or why not?
No; 2 = 2 and -2=-2

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Cheers,
Stan H.
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