Algebra, Please Help!
posted by Nicole .
Devin attempted to solve the inequality -2x+6>10 following the steps below:
•subtract 6 from both sides of the inequality.
•divide both sides of the inequality by -2.
He finds that x>-2. Clearly explain why this is not a correct solution. In your response, be sure to explain what Devin needs to do to find the correct solution.
2 x + 6 - 6 > 10 - 6
2x > 4 Divide both sides by - 2
Whenever you multiply or divide an inequality by a negative number, you must change the direction of the inequality.
In tis case :
( 2 x / - 2 ) < ( 4 / - 2 )
- x < - 2 Multiply both sides by - 1
You again must change the direction of the inequality:
x > 2