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QUESTION IMAGE

question solve the inequality and graph the solution on the line provid…

Question

question
solve the inequality and graph the solution on the line provided.
4 + 3x < -2
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
submit answer

Explanation:

Step1: Subtract 4 from both sides

$$4 + 3x-4\lt - 2-4$$
$$3x\lt - 6$$

Step2: Divide both sides by 3

$$\frac{3x}{3}\lt\frac{-6}{3}$$
$$x\lt - 2$$

Answer:

Inequality Notation: \(x\lt - 2\)

For the number line: Place an open circle at \(-2\) (because the inequality is strict, i.e., \(x
eq - 2\)) and shade the line to the left of \(-2\) (since \(x\) is less than \(-2\)).