please assist with steps thanks

Question

Solve the following inequality. Write the solution set using interval notation.

6/5 x-1/4≤11/25 x-4/5

Answer 1

(6/5)x - 1/4 ≤ (11/25)x - 4/5

 

The common denominator is 100. Once the denominator is the same, it can go away...

 

120 - 25x ≤ 44x - 80

-69x ≤ -200

x ≥ 200/69

 

(2 62/69,∞)