Final answer:
The solution to the inequality 15 > 8x is x < 1.875 when expressed in inequality notation and (-∞, 1.875) in interval notation, meaning x can be any value less than 1.875.
Step-by-step explanation:
To solve the inequality 15 > 8x, we divide both sides of the inequality by 8 to isolate the variable x. Dividing 15 by 8 gives us a value of 1.875. Therefore, the solution to the inequality in inequality notation is x < 1.875.
In interval notation, the solution is (-∞, 1.875), which means x can take any value less than 1.875. The sign chart method would show a positive interval to the left of 1.875 and a negative interval to the right, indicating that all values to the left satisfy the inequality.