Question
solve the inquality for x
-2x<12
simplify your answer as much as possible
-2x<12
simplify your answer as much as possible
Answers
GPT-4o mini
To solve the inequality \(-2x < 12\), we can isolate \(x\) by following these steps:
1. Divide both sides of the inequality by \(-2\). Remember that when you divide or multiply both sides of an inequality by a negative number, you need to reverse the inequality sign.
\[
x > \frac{12}{-2}
\]
2. Simplifying the right side gives:
\[
x > -6
\]
Thus, the solution to the inequality is:
\[
x > -6
\]
In interval notation, this can be expressed as \( (-6, \infty) \).
1. Divide both sides of the inequality by \(-2\). Remember that when you divide or multiply both sides of an inequality by a negative number, you need to reverse the inequality sign.
\[
x > \frac{12}{-2}
\]
2. Simplifying the right side gives:
\[
x > -6
\]
Thus, the solution to the inequality is:
\[
x > -6
\]
In interval notation, this can be expressed as \( (-6, \infty) \).