SOLUTION: Solve the following inequality. Write the solution set using interval notation. 6/5 x -1/4≤11/25 x-4/5 can you please show steps

Algebra ->  Inequalities -> SOLUTION: Solve the following inequality. Write the solution set using interval notation. 6/5 x -1/4≤11/25 x-4/5 can you please show steps       Log On


   

Question 1048399: Solve the following inequality. Write the solution set using interval notation.


6/5 x -1/4≤11/25 x-4/5
can you please show steps


Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%286%2F5%29x+-1%2F4%3C=%2811%2F25%29x-4%2F5+.....common denominator for 5, 4is 20, and for 25 and 5 is 25
4%286%2F20%29x+-5%281%2F20%29%3C=%2811%2F25%29x-5%284%2F25%29+....simplify
%2824%2F20%29x+-%285%2F20%29%3C=%2811%2F25%29x-%2820%2F25%29+
%2824x+-5%29%2F20%3C=%2811x-20%29%2F25+ .....cross multiply
25%2824x+-5%29%3C=20%2811x-20%29+
600x+-125%3C=220x-400+
600x+-220x%3C=125-400+
380x%3C=-275+
x%3C=-275%2F380+ ..........both numerator and denominator divide by 5
x%3C=-55%2F76+

so, the solution set using interval notation is: (-infinity+,-55%2F76+]