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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. 2x + …

Question

solve the inequality and graph the solution on the line provided.
2x + 16 < 2
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Subtract 16 from both sides

$$2x+16 - 16<2 - 16$$
$$2x<-14$$

Step2: Divide both sides by 2

$$\frac{2x}{2}<\frac{-14}{2}$$
$$x < - 7$$

Answer:

Inequality Notation: \(x < - 7\)

To graph \(x < - 7\) on the number line:

  • Draw an open circle at \(-7\) (because the inequality is strict, \(x

eq - 7\)).

  • Shade the line to the left of \(-7\) (since \(x\) is less than \(-7\)).