Final answer:
The largest whole number x could be for 5x to be larger than 2x is 4, since it's the highest value provided in the options and satisfies the inequality 5x > 2x.
Step-by-step explanation:
The question asks what is the largest whole number x could be if 5x is larger than 2x. To answer this, consider the inequality 5x > 2x. Subtracting 2x from both sides of the inequality, we get 3x > 0.
This inequality is true for any positive value of x. Since we are looking for the largest whole number x could be without additional constraints, x can be any positive integer.
However, the options given are 1, 2, 3, and 4, and since they are all positive and satisfy the inequality, the answer would be the highest provided value, which is 4.