Question

Which inequality is a true statement? Select each correct answer. −3>−1 −3≥ −1 −3≤−1 −3<−1 −3=−1

Answer 1

Answer:

-3<-1

Step-by-step explanation:

As the absolute value of a negative number increases, the number becomes smaller and smaller. Here, the absolute value of -3 is 3 and that of -1 is 1. Since absolute value of -3 is greater than that of -1. So -3 is less than -1.

It can also be explained by the fact that, as the inequality is multiplied by a negative number, the inequality symbol is turned over. So

-3 < -1 => (-3)(-1) > (-1)(-1) => 3 > 1 which is true.