# 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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 Click here to see ALL problems on Inequalities Question 606090: why does the inequality sign change when both sides are multiplied by a negative number. Does this happen with equations, why or why not? Found 2 solutions by richard1234, stanbon:Answer by richard1234(5390)   (Show Source): You can put this solution on YOUR website!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). Answer by stanbon(57962)   (Show Source): You can put this solution on YOUR website!why does the inequality sign change when both sides are multiplied by a negative number. ------- 2 < 3 means 3 is to the right of 2 on the number scale. ----- 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 ----- Does this happen with equations, why or why not? No; 2 = 2 and -2=-2 ---------------------- Cheers, Stan H. ==================