QUESTION IMAGE
Question
which graph represents the solution set of this inequality? -3b - 15 > -24 choose 1 answer.
Step1: Solve the inequality
First, solve $-3b - 15>-24$. Add 15 to both sides: $-3b>-24 + 15$, so $-3b>-9$. Divide both sides by - 3. When dividing an inequality by a negative number, the inequality sign flips. We get $b < 3$.
Step2: Analyze the graph representation
The solution $b < 3$ is represented on a number - line with an open circle at 3 (since 3 is not included in the solution set) and an arrow pointing to the left (towards smaller numbers).
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A. Option with open - circle at 3 and arrow pointing left.