Determine whether each statement in Exercises 43–50 is true or fa...

Question

Determine whether each statement in Exercises 43–50 is true or false. -13 ≤ -2

Accepted Answer

Hello today we're going to be identifying whether inequality statement is true or false. So that inequality statement given to us is negative 35 is less than or equal to negative 11. So since we have the less than or equal to statement, there's really two statements that are being said here. The first one is that negative 35 is less than negative 11 or you have negative equal to negative 11. And as long as one of these statements is true, the whole inequality is going to be true. So let's go ahead and check both. On the right hand side we have negative 35 is equal to negative 11. That is not true because negative 35 can only be equal to negative 35 itself. So this side of the statement is false. Now we need to go ahead and check the left hand side negative 35 is less than negative 11. Well recall it on the number line. Anytime you're applauding negative numbers on the number line, the negative numbers decrease from right to left and as they decrease, the representing number is going to increase. So negative 11 is going to be greater than negative 35 because negative 35 lies to the left of negative 11 on the number line. So this statement is going to be true. And since at least one of these two statements is true, the overall inequality statement is going to be true. So I hope this video helps you in understanding how to determine whether inequality statement is true or false and I'll go ahead and see you all in the next video.