Question

Which inequality is equivalent to -x < -1

Answer 1

x > 1

Explanation:

To find an equivalent inequality for -x < -1, you can multiply both sides of the inequality by -1. When you multiply or divide both sides of an inequality by a negative number, you need to reverse the direction of the inequality sign. Here's how it works:

Starting inequality: -x < -1

Now, multiply both sides by -1 (remember to reverse the inequality sign):

-x * (-1) > -1 * (-1)

This simplifies to:

x > 1

So, the equivalent inequality is:

x > 1