Answer: Choice D
Open hole at -3 with shading to the left.
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Explanation:
The inequality [tex]-3 > \text{x}[/tex] is the same as [tex]\text{x} < -3[/tex]
When swapping both sides, the inequality sign flips as well.
Since we're looking for numbers smaller than -3, this includes things like -4, -5, -6, -7, and so on. Therefore we shade to the left of -3 on the number line.
We have an open hole at -3 to indicate it's not included as part of the solution set. We would include it if there as an "or equal to" as part of the inequality sign.
