Question

Consider the inequality. −2x+5>7 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 What is the solution to the inequality? −2x+5>7 (1 point) 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. x Response area Response area.

Answer 1

To solve the inequality \(-2x + 5 > 7\), we can follow these steps:

Step 1: Subtract 5 from both sides of the inequality.
\[ -2x + 5 - 5 > 7 - 5 \]
This simplifies to:
\[ -2x > 2 \]

Step 2: Divide both sides by -2. Remember that when you divide or multiply by a negative number, you must reverse the inequality sign.
\[ \frac{-2x}{-2} < \frac{2}{-2} \]
This simplifies to:
\[ x < -1 \]

Step 3: The solution is written in inequality form.
\[ x < -1 \]

So the correct order of the steps is:

• Step 1: Subtract 5 from both sides to get \(-2x > 2\)
• Step 2: Divide by -2 (which reverses the inequality) to get \(x < -1\)
• Step 3: Conclude that \(x < -1\) is the solution.

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For Question 2, the solution to the inequality is:

The answer: \(x < -1\)