Solve the inequality x2≤x+4.

Sure, let's solve the inequality step by step:

1. First, rewrite the inequality as x^2 - x - 4 ≤ 0.

2. Next, factor the quadratic equation. The factors of -4 that add up to -1 are -2 and 2. So, the factored form of the equation is (x - 2)(x + 2) ≤ 0.

3. Now, set each factor equal to zero and solve for x to find the critical points.

   x - 2 = 0 => x = 2 x + 2 = 0 => x = -2

4. The solution to the inequality will be the values between and including the critical points.

So, the solution to the inequality x^2 ≤ x + 4 is -2 ≤ x ≤ 2.