Question
Solve the following inequality for x.
-5x < -15x + 40
A.
x < 4
B.
x < -2.00
C.
x > -2.00
D.
x > 4
-5x < -15x + 40
A.
x < 4
B.
x < -2.00
C.
x > -2.00
D.
x > 4
Answers
Answered by
GPT-4o mini
To solve the inequality \(-5x < -15x + 40\), let's first isolate \(x\).
1. Add \(15x\) to both sides:
\[
-5x + 15x < 40
\]
This simplifies to:
\[
10x < 40
\]
2. Now, divide both sides by 10:
\[
x < 4
\]
Thus, the solution to the inequality is \(x < 4\).
The correct answer is:
**A. \(x < 4\)**
1. Add \(15x\) to both sides:
\[
-5x + 15x < 40
\]
This simplifies to:
\[
10x < 40
\]
2. Now, divide both sides by 10:
\[
x < 4
\]
Thus, the solution to the inequality is \(x < 4\).
The correct answer is:
**A. \(x < 4\)**
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