Question

The inequality −3 < x is equivalent to the inequality x > −3.

Answer 1

The inequality -3 < x is equivalent to the inequality x > -3.

Step-by-step explanation:

The inequality -3 < x is equivalent to the inequality x > -3.

To understand why these inequalities are equivalent, let's break it down and analyze each of them:

1. -3 < x means that x is greater than -3. This can be visualized on a number line where x is located to the right of -3.
2. x > -3 means the same thing - x is greater than -3. This can also be represented on a number line with x being to the right of -3.

So, both inequalities convey the same information; that x is greater than -3.