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Question
question
solve the inequality and graph the solution on the line provided.
-9 + 7x ≤ 40
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
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Step1: Add 9 to both sides
$$-9 + 7x+9\leq40 + 9$$
$$7x\leq49$$
Step2: Divide both sides by 7
$$\frac{7x}{7}\leq\frac{49}{7}$$
$$x\leq7$$
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Inequality Notation: \(x\leq7\)
For the number - line: Place a closed circle at \(x = 7\) (because the inequality is \(\leq\)) and shade to the left of \(7\) (since \(x\) is less than or equal to \(7\)).