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

Question

solve the inequality and graph the solution on the line provided.
-2 + 7x ≤ -16
answer attempt 1 out of 5
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Add 2 to both sides

$$-2 + 7x+2\leq -16 + 2$$
$$7x\leq -14$$

Step2: Divide both sides by 7

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

Answer:

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

To graph on the number - line: Place a closed circle at \(-2\) (because the inequality is \(\leq\)) and shade to the left of \(-2\) (since \(x\) is less than or equal to \(-2\)).