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

Answer 1

To solve the inequality \(-2x + 5 > 7\), the steps can be organized as follows:

1. **Subtract 5 from both sides**:
\(-2x + 5 - 5 > 7 - 5\)
This simplifies to:
\(-2x > 2\)

2. **Divide both sides by -2**:
When dividing by a negative number, remember to reverse the inequality sign.
\(-2x / -2 < 2 / -2\)
This simplifies to:
\(x < -1\)

So the ordered steps are:
1. Subtract 5 from both sides.
2. Divide both sides by -2.

You can now input these steps correctly to solve the inequality.