Inequality and Number Line Explanation

What is the false inequality -4<=-6 rewritten as?

A. -4 <= -6

B. -4 >= -6

C. -4 > -6

D. -4 < -6

Answer:

The false inequality -4<=-6 is rewritten as -4 >= -6.

The inequality statement -4<=-6 is false because -4 is not less than or equal to -6. In fact, the opposite is true. As we move to the right on the number line, values increase. Therefore, -4 is greater than -6. To rewrite this in a true form, we should flip the inequality, resulting in -4 >= -6.