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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. 7x + …

Question

solve the inequality and graph the solution on the line provided.
7x + 9 > -33
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
submit answer

Explanation:

Step1: Subtract 9 from both sides

$$7x+9 - 9> - 33-9$$
$$7x>-42$$

Step2: Divide both sides by 7

$$\frac{7x}{7}>\frac{-42}{7}$$
$$x > - 6$$

Answer:

Inequality Notation: \(x > - 6\)

To graph on the number - line: Place an open circle at \(-6\) (because the inequality is \(>\), not \(\geq\)) and draw an arrow to the right.