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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 + 4 > -12
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
submit answer

Explanation:

Step1: Subtract 4 from both sides

$$4x+4 - 4> - 12-4$$
$$4x>-16$$

Step2: Divide both sides by 4

$$\frac{4x}{4}>\frac{-16}{4}$$
$$x > - 4$$

Answer:

Inequality Notation: \(x > - 4\)

To graph \(x > - 4\) on the number - line:

  • Draw an open circle at \(-4\) (because the inequality is strict, \(x

eq - 4\)).

  • Shade the line to the right of \(-4\) (since \(x\) is greater than \(-4\)).