SOLUTION: (5/8)x - (1/3) is less than or equal to (4/9)x + 1/4 Please help!! Thanks, Alicia

Algebra ->  Inequalities -> SOLUTION: (5/8)x - (1/3) is less than or equal to (4/9)x + 1/4 Please help!! Thanks, Alicia      Log On


   

Question 881961: (5/8)x - (1/3) is less than or equal to (4/9)x + 1/4

Please help!!
Thanks,
Alicia
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The lowest common denominator would be 72. Multiply left and right members by 72 and you would clear the denominators. From there, simplify as usual. Know that if you multiply or divide by a negative number, then this reverses the inequality order direction.

Compare denominators:
8=2*2*2;
3=3;
9=3*3;
4=2*2;
Greatest common multiple is 2%5E3%2A3%5E2=8%2A9=72.