SOLUTION: {{{7(x-3)>5x-14}}}
Algebra.Com
Question 100719:
Found 3 solutions by edjones, jim_thompson5910, oberobic:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
7(x-3)>5x-14
7x-21>5x-14 get rid of parentheses.
2x>7 subtract -5 and add 21 to each side.
x>7/2
Ed
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given inequality
Distribute
Add 21 to both sides
Subtract 5x from both sides
Combine like terms on the left side
Combine like terms on the right side
Divide both sides by 2 to isolate x
So our answer is
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Begin with .
To solve, you can start with the equivalent equation:
Multiplying to remove the parentheses:
Subtracting 5x from both sides:
Adding 21 to both sides:
, so
, which may be stated as if you wanted.
Now we return to the original inequality, and see that our answer is .
Returning to the original equation, we can check a few values.
Check , where x = 3. This results in the assertion 0 > 1, which is false. So the value x = 3 does not work, as we expect.
Check , where x = 4. This results in the assertion 7 > 6, which is true, as we expected given we think the solution is x > 7/2.
Check , where x = 2. This results in the assertion -7 > -4, which is false. So the value x = 2 does not work, as we expect.
Check , where x = 5. This results in the assertion 14 > 9, which is true. So the value x = 5 works, as we expect.
RELATED QUESTIONS
7(x - 3) > 5x - 14 (answered by rapaljer)
7(x - 3) > 5x -... (answered by Cintchr)
7(x – 3) > 5x -... (answered by bucky)
7(x-3)>5x-14 (answered by Septimus314)
7(x - 3) > 5x -... (answered by stanbon)
7(x - 3) > 5x -... (answered by ptaylor)
7(x - 3) > 5x -... (answered by ptaylor)
7(x-3)->5x-14 (answered by anjali_yamini)
Solve the equation algebraically.... (answered by greenestamps)