Question

Need help to solve this. ¼ (5x-1/2)-5/3<1/3

Answer 1

thank you GT..i was confused on how to do that..

Answer 2

You can visualize this by going to http:www.wolframalpha.com and typing

1/4 (5x-1/2) < 1/3 + 5/3

The right side is just 6/3 = 2

So there are two equations: y = 1/4(5x-1/2) and y = 2

All values of x for which y = 1/4(5x-1/2) is LESS THAN (under) the line y =2 is a solution. :)

Answer 3

thanks, will check out that site..

Answer 4

Mathteacher, so the solution to that problem is NOT x>3/2 its x<17/10?

Answer 5

Hey GT

Answer 6

oh ok, just making sure, because with that graph it shows a different solution.

Answer 7

GT you made an error:
1/4(5x-1/2) -5/3 < 1/3 add 5/3 to both sides
1/4 (5x-1/2) < 1/3 + 5/3 realize that 1/3 + 5/3 = 6/3 = 2 AND distribute the 1/4
5x/4 - 1/8 < 2 ADD 1/8 to both sides...

5x/4 < 2 - 1/8 But you SUBTRACTED 1/8 from both sides... and everything below is in error. :(

5x/4 < 15/8
5x < 15/2
x < 3/2 (incorrect answer)

Answer 8

mathteacher, i got x<17/10!!!???

Answer 9

Actually, I made a mistake. I subtracted 1/8 instead of adding to the other side.
Damn!!!

Answer 10

So the correct answer is x < 17/10
That is the correct answer. :)

Answer 11

Sorry!

Answer 12

No prob gt. :) It happens.

Answer 13

haha..thanks mathteacher..

Answer 14

Hint: when you are showing steps, always write a little next to each step explaining what it was that you did. :)

Answer 15

1/4 (5x-1/2) < 1/3 + 5/3
5x/4 - 1/8 < 2
5x/4 < 2 + 1/8
5x/4 < 17/8
5x < 17/2
x < 17/10

Answer 16

thank you both..