Week 3MAT116DQ1 - Copy - are all positive, But to the left...

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Week 3 MAT/116 Discussion Question 1 Why does the inequality sign change when both sides are multiplied or divided by a negative number? Because a larger negative number is less than a smaller negative number, but a larger positive number is greater than a smaller positive number. This can be confirmed by writing a true inequality with integers. 4 > 2 Now multiply both sides by -2 and switch the inequality sign -8 < -2 Does this happen with equations? Why or why not? No, for example: 5 > 3, (this is true) now multiply both sides by -1 -5 ? -3 See how it has to switch to: -5<-3 This is because it goes to the other side of the number line. To the right of 0, where the numbers
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Unformatted text preview: are all positive, But to the left of 0, it goes the other way. Look at the number line below:-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 This doesn't happen when adding: ( 5&gt;3) and then 5+10&gt;3+10. It also can't happen when it is an equation. Nothing switches with an equation, just because it is equal. Write an inequality for your classmates to solve. In your inequality, use both the multiplication and addition properties of inequalities. Below is in inequality to solve: 6(x+12)-8&gt;4(x+8)...
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