solve the inquality for x

Question

-2x<12
simplify your answer as much as possible

Answer 1

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 \( (-6, \infty) \).