SOLUTION: Add -2 to both sides of the inequality 5 > 3. Then divide both sides of the inequality -20 > -30 by -2. a) Explain in your own words what happens in each example; when you per

Algebra ->  Inequalities -> SOLUTION: Add -2 to both sides of the inequality 5 > 3. Then divide both sides of the inequality -20 > -30 by -2. a) Explain in your own words what happens in each example; when you per      Log On


   

Question 171314: Add -2 to both sides of the inequality 5 > 3.
Then divide both sides of the inequality -20 > -30 by -2.
a) Explain in your own words what happens in each example; when you perform the operations listed above.
b) Explain what happens in each example when the direction of the inequality symbol is reversed
Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
Add -2 to both sides of the inequality 5 > 3.
3 > 1
if you add or subtract the same number to both sides of the inequality the inequality remains the same.
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Then divide both sides of the inequality -20 > -30 by -2.
10 < 15
if you multiply or divide both sides of the inequality by the same negative number, the inequality reverses.
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when the direction of the inequality is reversed, the same things happen.
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suppose 3 < 5
3-2 < 5-2
1 < 3
inequality remained the same.
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suppose 20 < 30
20/-2 > 30/-2
-10 > -15
inequality reversed.
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note:
if you multiply or divide both sides of the inequality by the same positive number, the inequality remains the same.
start with:
20 < 30
divide both sides by 2:
10 < 15
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