Problem
Suppose the value of $x$ varies from $x=-4$ to $x=-10$. a. Did $x$ increase or decrease? Select an answer $\vee$ b. If $x$ continues varying in this direction without limit, which of the following is true? Select all that apply. $x \rightarrow \infty$ $x \rightarrow-\infty$ $x$ increases without bound $x$ decreases without bound
Solution
Step 1 ：Suppose the value of $x$ varies from $x=-4$ to $x=-10$.
Step 2 ：Compare the initial and final values of $x$.
Step 3 ：Since $-10$ is less than $-4$, the value of $x$ decreased.
Step 4 ：\(x_{initial} = -4\)
Step 5 ：\(x_{final} = -10\)
Step 6 ：\(change = decreased\)
Step 7 ：Final Answer: The value of $x$ \(\boxed{decreased}\).
