Question: Select the values that make the inequality $y \leq -3$ true from the list: $-11, -8, -6, -4, -3.1, -3.01, -3.001, -3, -2.999, -2.99, -2.9, -2, 0, 2, 5$.
1. The problem asks us to find all values of $y$ from the given list that satisfy the inequality $y \leq -3$.
2. The inequality $y \leq -3$ means $y$ is less than or equal to $-3$.
3. We check each number in the list to see if it is less than or equal to $-3$:
- $-11 \leq -3$ is true.
- $-8 \leq -3$ is true.
- $-6 \leq -3$ is true.
- $-4 \leq -3$ is true.
- $-3.1 \leq -3$ is true because $-3.1 < -3$.
- $-3.01 \leq -3$ is true.
- $-3.001 \leq -3$ is true.
- $-3 \leq -3$ is true (equal).
- $-2.999 \leq -3$ is false because $-2.999 > -3$.
- $-2.99 \leq -3$ is false.
- $-2.9 \leq -3$ is false.
- $-2 \leq -3$ is false.
- $0 \leq -3$ is false.
- $2 \leq -3$ is false.
- $5 \leq -3$ is false.
4. Therefore, the values that satisfy $y \leq -3$ are:
$$-11, -8, -6, -4, -3.1, -3.01, -3.001, -3$$
These are all the numbers less than or equal to $-3$ from the given list.