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I learned about multiplying and dividing on both sides of the equation and when you multiply two negatives it gives you a positive and you can switch the signs

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You may view the video for a mini lesson to multiply or divide by a negative number.

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-15+x is less than or equal to -20

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The rule is correct because when you multiply or divide a negative number it always equals the opposite which you can reverse the inequality to find the answer.

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Rule: Reverse the inequality when multiplying or dividing by a negative number.

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Rule: Reverse the inequality when multiplying or dividing by a negative number.

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The answer to this equation is -3 because when you are multiplying a negative by a negative the answer would be a positive.(-7x-3=21)

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x<-3
X+(-1) is less than -3

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To multiply two negative numbers the answer would be a positive number like when multiplying (-7 x -7) the answer would be positive 49. When you divide two negative numbers the answer would be positive as well.