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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. 4x + …

Question

solve the inequality and graph the solution on the line provided. 4x + 14 < -2 answer < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

Explanation:

Step1: Isolate the term with x

Subtract 14 from both sides of the inequality $4x + 14<-2$.
$4x+14 - 14<-2 - 14$
$4x<-16$

Step2: Solve for x

Divide both sides of the inequality $4x<-16$ by 4.
$\frac{4x}{4}<\frac{-16}{4}$
$x < - 4$

Answer:

<; $x < - 4$; On the number - line, there is an open circle at - 4 and the line is shaded to the left of - 4.>