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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

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Answer 1

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

Step 1

Add 9 to both sides:
\[ 4x - 9 + 9 \geq -21 + 9 \]
This simplifies to:
\[ 4x \geq -12 \]

Step 2

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

Step 3

Graph the solution on a number line representing \( x \geq -3 \), which includes -3 and extends to the right (to positive infinity).

Summary of Steps:

• Step 1: Add 9 to both sides.
• Step 2: Divide both sides by 4.
• Step 3: Graph the solution.

For Question 2 (the number line), it would show a closed circle on -3, indicating that -3 is included in the solution, with a line extending to the right.

Make sure to select and input these steps in your assignment appropriately!