SOLUTION: QUESTION #10 SOLVE: 2x-9<8x+15

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Question 212441: QUESTION #10
SOLVE: 2x-9<8x+15
Found 2 solutions by tutor_paul, drj:
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
2x-9%3C8x%2B15
Get all x terms alone on one side of the inequality:
1. Add -8x to both sides of the inequality:
2x-8x-9%3C8x-8x%2B15
2. Simplify:
-6x-9%3C15
3. Add +9 to both sides of the inequality:
-6x-9%2B9%3C15%2B9
4. Simplify:
-6x%3C24
5. Divide each side of inequality by -6. *NOTE* Whenever you multiply or divide each side of an inequality by a negative number, you must swap the inequality:
highlight%28x%3E-4%29
=================
Good Luck,
tutor_paul@yahoo.com

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
QUESTION #10 SOLVE:

2x-9%3C8x%2B15

Step 1. Goal is to isolate x on one side and numbers on the opposite side of the equation. Subtract 2x from both sides of equations

2x-9-2x%3C8x%2B15-2x

-9%3C6x%2B15

Step 2. Now subtract 15 from both sides of equation.

-9-15%3C6x%2B15-15

-24%3C6x

Step 3. Divde 6 from both sides of equation.

-24%2F6%3C6x%2F6

-4%3Cx (answer)

OR x%3E-4 same result (answer)


Hope the steps were helpful. Good luck in your studies.
Respectfully,
Dr J

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