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QUESTION IMAGE

which graph represents the solution set of this inequality? 4x + 11 < -…

Question

which graph represents the solution set of this inequality?
4x + 11 < -21
choose 1 answer
a
b
c
d

Explanation:

Step1: Solve the inequality

Subtract \(11\) from both sides of \(4x + 11<-21\):
\(4x+11 - 11<-21 - 11\)
\(4x<-32\)
Divide both sides by \(4\):
\(x < - 8\)

Step2: Analyze the graph

An open circle at \(-8\) (because the inequality is strict, \(x
eq - 8\)) and the arrow pointing to the left (since \(x\) is less than \(-8\)).

Answer:

Option A (assuming in option A there is an open - circle at \(-8\) and the arrow is to the left)