Question - Solving Absolute Value Inequality
Solution:
The inequality provided in the image is $$ 8|y| \leq 24 $$. To solve for $$ y $$, we need to isolate $$ y $$. We start by dividing both sides of the inequality by 8:$$ |y| \leq 24 / 8 \\|y| \leq 3 $$The absolute value sign indicates that whatever value $$ y $$ takes, when we take its absolute value, it should be less than or equal to 3. This means that $$ y $$ can be any number in the range of -3 to 3 inclusive. Thus, the solution set for $$ y $$ is:$$ -3 \leq y \leq 3 $$
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