SOLUTION: To solve 3 ≥ 5 - 2x, a student typically uses division by -2 and reverses the direction of the inequality. Show how to solve the inequality without using that step. Hint: Us

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Question 1096181: To solve 3 ≥ 5 - 2x, a student typically uses division by -2 and reverses the direction of the inequality. Show how to solve the
inequality without using that step. Hint: Use the Addition Property of Equality.

Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
3 >= 5 - 2x
Add 2x
3 + 2x >=5
Subtract 3
2x >= 2
x >=1

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
To solve 3 ≥ 5 - 2x, a student typically uses division
by -2 and reverses the direction of the inequality. Show
how to solve the inequality without using that step.
Hint: Use the Addition Property of Equality.
      3 ≥ 5 - 2x
+2x         + 2x
   -------------
 2x + 3 ≥ 5
     -3  -3
 ----------
 2x     ≥ 2

    
      x ≥ 1   

 
Edwin



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