Algebra, Please Help!
posted by Nicole on .
Devin attempted to solve the inequality 2x+6>10 following the steps below:
â€¢subtract 6 from both sides of the inequality.
â€¢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