SOLUTION: Solve each inequality and graph its solution. (addition/subtraction) 3/19 + p < 1107/152 I don't understand how to make p alone, do I subtract 3/19 from 1107/152? Please help

Algebra ->  Inequalities -> SOLUTION: Solve each inequality and graph its solution. (addition/subtraction) 3/19 + p < 1107/152 I don't understand how to make p alone, do I subtract 3/19 from 1107/152? Please help      Log On


   

Question 1100686: Solve each inequality and graph its solution. (addition/subtraction)
3/19 + p < 1107/152
I don't understand how to make p alone, do I subtract 3/19 from 1107/152? Please help, thank you!
Found 3 solutions by Alan3354, ikleyn, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve each inequality and graph its solution. (addition/subtraction)
3/19 + p < 1107/152
I don't understand how to make p alone, do I subtract 3/19 from 1107/152?
========================
Yes, that's what you do.

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
Subtract 3%2F19 from both sides.


You will get


p < 1107%2F152 - 3%2F19.


Then simplify your right side.


If you have difficulties and CAN NOT COMPLETE IT ON YOUR OWN, then let me know via "Thank you" message window.


In this case please refer to the problem ID number "1100686".


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I noted that +152%2F19+=+8+
and
+%28+3%2F19+%29%2A%28+8%2F8+%29+=+24%2F152+, so
---------------------------------
+3%2F19+%2B+p+%3C++1107%2F152+
+24%2F152+%2B+p+%3C+1107%2F152+
Multiply both sides by +152+
+24+%2B+152p+%3C+1107+
+152p+%3C+1107+-+24+
+152p+%3C+1083+
+p+%3C+7.125+
-------------------
check:
+p+=+7.13+ should NOT solve inequality
+3%2F19+%2B+p+%3C+1107%2F152+
+.1578947+%2B+7.13+%3C+7.2828947+
+7.2878947+%3C+7.2828947+
This is not true, now try +p+=+7.124+