符合條件的最大值

You want to find the maximum value that satisfies the condition.

Let's re-read the condition: x^3 + 2x^2 + 3x + 1 ≤ 10

To maximize this expression, we can try different values of x and see if they satisfy the inequality. Let's start with some simple values:

• When x = 0, the expression becomes 1 ≤ 10, which is true.
• When x = 1, the expression becomes 8 ≤ 10, which is also true.
• When x = 2, the expression becomes 16 ≤ 10, which is false.

So, we've found that x = 1 is the maximum value that satisfies the condition. Plugging this value back into the original expression, we get:

1^3 + 2(1)^2 + 3(1) + 1 = 7

Which indeed is less than or equal to 10.

Therefore, the maximum value of x that satisfies the condition is x = 1. 🎉