Question

the solution is x < - 3. choose the correct graph of the solution. a. graph with arrow pointing left starting from - 3 with an open - circle at - 3 b. graph with arrow pointing left starting from - 3 with a closed - circle at - 3 c. graph with arrow pointing right starting from - 3 with an open - circle at - 3 d. graph with arrow pointing right starting from - 3 with a closed - circle at - 3

Explanation:

Step1: Analyze the inequality

The inequality is $x < - 3$. This means all values of $x$ that are less than -3 are solutions.

Step2: Check graph - open or closed circle

Since the inequality is $x < - 3$ (not $x\leq - 3$), there should be an open - circle at $x=-3$ to indicate that $-3$ is not part of the solution set.

Step3: Check the direction of the arrow

The values less than -3 are to the left of -3 on the number line, so the arrow should point to the left.

Answer:

A. An open - circle at $-3$ and an arrow pointing to the left.