QUESTION IMAGE
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:
Step1: Add 2 to both sides
$$-2 + 7x+2\leq -16 + 2$$
$$7x\leq -14$$
Step2: Divide both sides by 7
$$\frac{7x}{7}\leq\frac{-14}{7}$$
$$x\leq - 2$$
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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 \(-2\)).