solve the inquality for x

Question

-2x<12

Answer 1

To solve the inequality \(-2x < 12\), follow these steps:

1. Divide both sides of the inequality by \(-2\). Remember that when you divide by a negative number, you must reverse the inequality sign:

\[ x > \frac{12}{-2} \]

2. Simplify the right side:

\[ x > -6 \]

So, the solution to the inequality is:

\[ x > -6 \]

This means that \(x\) can take any value greater than \(-6\).