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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. 4x + …

Question

solve the inequality and graph the solution on the line provided.

4x + 9 ≤ -11

answer attempt 1 out of 2

< > ≤ ≥ or

inequality notation:

number line:

submit answer

Explanation:

Step1: Subtract 9 from both sides

$$4x+9 - 9\leq - 11-9$$
$$4x\leq - 20$$

Step2: Divide both sides by 4

$$\frac{4x}{4}\leq\frac{-20}{4}$$
$$x\leq - 5$$

Answer:

Inequality Notation: \(x\leq - 5\)

For the number - line: Place a closed circle at \(-5\) (because the inequality is \(\leq\)) and draw a line to the left of \(-5\) towards negative infinity.