Question

Question 1 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

Answer 1

To solve the inequality \(4x - 9 \geq -21\), let's go through the steps:

Step 1: Add 9 to both sides

\(4x - 9 + 9 \geq -21 + 9\)

Step 2: Simplify

\(4x \geq -12\)

Step 3: Divide both sides by 4

\(x \geq -3\)

So, the correct order for the steps used to solve the inequality is:

• Step 1: Add 9 to both sides
• Step 2: Simplify
• Step 3: Divide both sides by 4

Question 2: Number Line Representation

The solution \(x \geq -3\) means that the number line should have a closed dot (or a filled circle) at \(-3\) and a line extending to the right to indicate all numbers greater than or equal to \(-3\).

When you look at the options provided, select the number line that shows:

• A closed dot at \(-3\)
• An arrow pointing to the right (indicating all numbers greater than \(-3\))

If you have specific number line options, please provide them, and I can help you identify the correct one!