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Question 1
Consider the inequality.

2x+5<11


Correctly order the steps 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
Consider the inequality.

2x+5<11

Which number line shows the solution to this inequality?

(1 point)
Responses

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1 answer

Let's solve the inequality step by step for Question 1.

Question 1 Given the inequality: \[ 2x + 5 < 11 \]

Step 1: Subtract 5 from both sides. \[ 2x < 11 - 5 \] \[ 2x < 6 \]

Step 2: Divide both sides by 2. \[ x < \frac{6}{2} \] \[ x < 3 \]

Step 3: Write the solution in inequality form. The solution is: \[ x < 3 \]

Order of Steps:

  1. Step 1: Subtract 5 from both sides.
  2. Step 2: Divide both sides by 2.
  3. Step 3: Write the solution in inequality form.

Question 2 To represent the solution \( x < 3 \) on a number line, you would have an open circle at 3 (since it's not included) and a shaded line extending to the left.

Description of Number Line:

  • Place an open circle at 3.
  • Shade the line extending left from 3 to indicate all numbers less than 3.

If you have visual options for number lines, choose the one that matches this description.