Final answer:
The solution to the inequality 4x > 50 is x > 12.5, which is best represented in interval notation as (12.5, ∞). The closest matching option is (c) (28, ∞), but it incorrectly reflects the solution of x > 28.
Step-by-step explanation:
To solve the inequality 4x > 50, we must isolate the variable x. We do this by dividing both sides of the inequality by 4:
4x / 4 > 50 / 4
x > 12.5
This means that x can be any value greater than 12.5. In interval notation, this is expressed as (12.5, ∞), which corresponds to option (c) (28, ∞) from the choices provided. However, the correct answer should be (12.5, ∞), not (28, ∞).