Question

Which of the following inequalities is equivalent to -6 > X?

Options:
A. X < -6
B. X² - 6
C. X > -6
D. X - 6

Answer 1

The correct inequality that is equivalent to -6 > X is: X < -6.

Step-by-step explanation:

The correct inequality that is equivalent to -6 > X is: X < -6.

To understand why, let's consider the original inequality -6 > X. This inequality states that -6 is greater than X. To rewrite it in terms of X, we need to swap the inequality sign and reverse its direction. This gives us X < -6.

For example, if we substitute X as -7 into the inequality X < -6, we can see that it holds true: -7 is indeed less than -6. Therefore, the answer is option A, X < -6.