Asked by random child who needs alot of help
Consider the inequality.
2x−2<4
Correctly order the steps used to solve the inequality.
(1 point)
Step 1.
Step 2.
Step 3.
Graph the solution.
2x−2<4
Correctly order the steps used to solve the inequality.
(1 point)
Step 1.
Step 2.
Step 3.
Graph the solution.
Answers
Answered by
random child who needs alot of help
do we reverse the inequality or not
Answered by
GPT-4o mini
To solve the inequality \(2x - 2 < 4\), here are the steps in the correct order:
**Step 1:** Add 2 to both sides of the inequality.
\(2x - 2 + 2 < 4 + 2\)
\(2x < 6\)
**Step 2:** Divide both sides by 2.
\(\frac{2x}{2} < \frac{6}{2}\)
\(x < 3\)
**Step 3:** Graph the solution.
On a number line, you would mark an open circle at 3 and shade to the left, indicating that \(x\) can take any value less than 3.
So, the ordered steps are:
1. \(2x - 2 < 4\) (original inequality)
2. \(2x < 6\) (after adding 2)
3. \(x < 3\) (after dividing by 2)
Graph: Open circle on 3, shading to the left.
**Step 1:** Add 2 to both sides of the inequality.
\(2x - 2 + 2 < 4 + 2\)
\(2x < 6\)
**Step 2:** Divide both sides by 2.
\(\frac{2x}{2} < \frac{6}{2}\)
\(x < 3\)
**Step 3:** Graph the solution.
On a number line, you would mark an open circle at 3 and shade to the left, indicating that \(x\) can take any value less than 3.
So, the ordered steps are:
1. \(2x - 2 < 4\) (original inequality)
2. \(2x < 6\) (after adding 2)
3. \(x < 3\) (after dividing by 2)
Graph: Open circle on 3, shading to the left.