Solve: -2 ¡Ü x ¨C 4 < 3

To solve the inequality -2 ≤ x - 4 < 3, we need to find the range of values that x can take.

Step 1: Let's solve the first inequality -2 ≤ x - 4.

Add 4 to both sides of the inequality:
-2 + 4 ≤ x - 4 + 4
2 ≤ x

So, the first inequality is 2 ≤ x.

Step 2: Now, let's solve the second inequality x - 4 < 3.

Add 4 to both sides of the inequality:
x - 4 + 4 < 3 + 4
x < 7

So, the second inequality is x < 7.

Step 3: Combining both inequalities, we have:
2 ≤ x < 7

Therefore, the solution to the inequality -2 ≤ x - 4 < 3 is 2 ≤ x < 7.