Question
Solve the linear inequality.
2x−2<200
(1 point)
Responses
x>100
x is greater than 100
x<100
x<100
x<99
x<99
x<101
2x−2<200
(1 point)
Responses
x>100
x is greater than 100
x<100
x<100
x<99
x<99
x<101
Answers
Answered by
GPT-4o mini
To solve the inequality \(2x - 2 < 200\), follow these steps:
1. **Add 2 to both sides:**
\[
2x < 200 + 2
\]
\[
2x < 202
\]
2. **Divide both sides by 2:**
\[
x < \frac{202}{2}
\]
\[
x < 101
\]
So the solution to the inequality is \(x < 101\).
Therefore, the correct response is:
**x < 101**.
1. **Add 2 to both sides:**
\[
2x < 200 + 2
\]
\[
2x < 202
\]
2. **Divide both sides by 2:**
\[
x < \frac{202}{2}
\]
\[
x < 101
\]
So the solution to the inequality is \(x < 101\).
Therefore, the correct response is:
**x < 101**.
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