Question 1

Question

Consider the inequality.

4x−9≥−21

Correctly order the steps used to solve the inequality.

(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
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

Question 1: Correct Order of Steps to Solve the Inequality

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

1. Step 1: Add 9 to both sides of the inequality. \[ 4x - 9 + 9 \geq -21 + 9 \] This simplifies to: \[ 4x \geq -12 \]

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

3. Step 3: State the solution. \[ x \geq -3 \]

Question 2: Number Line Representation of the Solution

The solution \( x \geq -3 \) can be represented on a number line as follows:

• A filled (or closed) dot at -3 to indicate that -3 is included in the solution.
• A line extending to the right from -3 to indicate all values greater than -3 are included.

If you have options for the number line, you should look for a representation matching this description.