SOLUTION: Please solve the following inequality, showing all work and then list 3 numbers that are in the solution set. 6/x ≥ 5

Notice that if x is negative, then  is negative and, therefore, can not be greater or equal to 5.


Hence, the solution set {x} is among positive real numbers.


Assuming that x is positive, multiply both sides of  >=5 by x.

Since x is positive, you can keep the same inequality sign.


So, your inequality becomes 6 >= 5x.


Now divide both sides by the positive number 5. You will get an equivalent inequality  x <= .