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.
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Answer 1

To solve the inequality \(-2x + 5 > 7\), here are the ordered steps:

**Step 1:** Subtract 5 from both sides of the inequality.

**Step 2:** Divide by -2 (remember to reverse the inequality sign when dividing by a negative number).

**Step 3:** Simplify the result.

So, the correct ordering of the steps is:

- **Step 1:** Subtract 5 from both sides:
\(-2x > 2\)

- **Step 2:** Divide by -2 (note the sign change):
\(x < -1\)

- **Step 3:** The solution is simplified as a final inequality:
\(x < -1\)

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For the solution to the inequality:

The solution to the inequality \(-2x + 5 > 7\) is:

\(x < -1\)

So, the correct response for the solution would be:
\(x < -1\)