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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.
Equation: \( 4x - 9 + 9 \geq -21 + 9 \)
Result: \( 4x \geq -12 \)

Step 2: Divide both sides by 4.
Equation: \( \frac{4x}{4} \geq \frac{-12}{4} \)
Result: \( x \geq -3 \)

Step 3: Write the solution in interval notation or on a number line.

So, the correct order of the steps is:

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

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For Question 2, the solution of \( x \geq -3 \) on a number line would be represented as an arrow starting at \(-3\) and extending to the right, including \(-3\) (often shown with a solid dot or filled circle at \(-3\)).

If you have options for the number line, choose the one that represents \( x \geq -3 \).