is this right solve the following inequality and write solutin as a set builder notation
-6/25x>=-5/3
25/-6*-6/25*x=>-5/3*25/-6
x=<125/18
x=<125/18
set builder notation[x/x,125/18]
To solve the inequality -6/25x >= -5/3, follow these steps:
1. Multiply both sides of the inequality by -25/6 (the reciprocal of -6/25):
(-25/6)(-6/25)x <= (-5/3)(-25/6)
Simplifying, we get:
x <= 125/18
2. To represent the solution in set-builder notation, we write the set of all values of x that make the inequality true. In this case, all values of x less than or equal to 125/18 satisfy the inequality.
So the solution in set-builder notation is:
{x | x <= 125/18}