Subjects algebra

Inequality Values 00384D

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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.