Which one is the best option?

Okay, let's figure this out! We need to find the intersection of two intervals:

1. The first interval is -2 ≤ x ≤ 2. This means all numbers between -2 and 2, including -2 and 2.
2. The second interval is -4 ≤ x ≤ 5. This means all numbers between -4 and 5, including -4 and 5.

When we talk about the intersection of intervals, we're looking for the numbers that are present in *both* intervals. Imagine them on a number line:

The first interval covers numbers from -2 up to 2.

The second interval covers numbers from -4 up to 5.

The numbers that are in *both* of these ranges start at the higher of the two lower bounds (-2) and end at the lower of the two upper bounds (2).

So, the numbers that satisfy both conditions are from -2 to 2.

Looking at your options:

• -4 ≤ x ≤ -2
• -4 ≤ x ≤ 5
• 0
• -2 ≤ x ≤ 5
• -2 ≤ x ≤ 2

The correct interval is -2 ≤ x ≤ 2.

Ответ: -2 ≤ x ≤ 2