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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. -10 +…

Question

solve the inequality and graph the solution on the line provided.
-10 + 4x ≤ -14
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
submit answer

Explanation:

Step1: Add 10 to both sides

$$-10 + 4x+10\leq -14 + 10$$
$$4x\leq - 4$$

Step2: Divide both sides by 4

$$\frac{4x}{4}\leq\frac{-4}{4}$$
$$x\leq - 1$$

Answer:

Inequality Notation: \(x\leq - 1\)

For the number - line: Place a closed circle at \(-1\) (because the inequality is \(\leq\)) and shade to the left of \(-1\) (since \(x\) is less than or equal to \(-1\)).