Final answer:
To solve the inequality 3/4x > 3, multiply both sides by the reciprocal of 3/4, which is 4/3. The solution is x > 4, meaning that x must be greater than 4.
Step-by-step explanation:
To solve the inequality 3/4x > 3 for the variable x, we start by isolating x on one side of the inequality. We can do this by multiplying both sides by the reciprocal of 3/4, which is 4/3, to cancel out the fraction on the left side.
Through this step, we have:
3/4x * 4/3 > 3 * 4/3
Simplifying both sides gives us:
x > 4
We can now say that the solution to the inequality is all values of x that are greater than 4.