Consider the inequality.

Question

4x−9≥−21

Correctly order the steps used to solve the inequality.

(3 points)
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Step 1.
Step 2.
Step 3.
Question 2
Which number line represents the solution of 4x−9≥−21
?(1 point)
Responses

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Answer 1

To solve the inequality \( 4x - 9 \geq -21 \), follow these steps:

Step 1: Add 9 to both sides.
Step 2: Divide both sides by 4.
Step 3: Write the solution in interval notation and represent it on a number line.

Now, let's order the steps:

1. Add 9 to both sides:
   \( 4x - 9 + 9 \geq -21 + 9 \)
   This simplifies to \( 4x \geq -12 \).

2. Divide both sides by 4:
   \( \frac{4x}{4} \geq \frac{-12}{4} \)
   This simplifies to \( x \geq -3 \).

3. Represent the solution on a number line. This should show a solid dot at -3 and shading to the right, indicating all numbers greater than or equal to -3 are included.

For the Number Line:

You would look for a representation that has a solid dot or closed circle at -3 and shading extending to the right.

Let me know if you need further clarification or help!