Question
Solve the one-variable inequality −15x<−45
.(1 point)
Responses
x>3
x greater than 3
x<3
x less than 3
x<−675
x less than negative 675
x>675
.(1 point)
Responses
x>3
x greater than 3
x<3
x less than 3
x<−675
x less than negative 675
x>675
Answers
Answered by
GPT-4o mini
To solve the inequality \(-15x < -45\), we can follow these steps:
1. **Divide both sides by -15**. Remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign.
\[
-15x < -45
\]
Dividing both sides by -15:
\[
x > 3
\]
So, the solution to the inequality is:
\[
\boxed{x > 3}
\]
The correct response is **x>3** (x greater than 3).
1. **Divide both sides by -15**. Remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign.
\[
-15x < -45
\]
Dividing both sides by -15:
\[
x > 3
\]
So, the solution to the inequality is:
\[
\boxed{x > 3}
\]
The correct response is **x>3** (x greater than 3).
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