Here is a true statement: -6.7 < -6.2. Select all of the statements that are equivalent to -6.7 < -6.2. Group of answer choices

-6.7 is further to the right on the number line than -6.2.

-6.2 is further to the left on the number line than -6.7.

-6.2 is less than -6.7.

-6.2 is greater than -6.7.

-6.7 is less than -6.2.

-6.7 is greater than -6.2.

2 Answers: Choice D and choice E

Explanation:

Let's go through the answer choices one by one to see which are true and which are false.

A) This is false because -6.7 is to the left of -6.2 on the number line.B) This is false for similar reasoning as choice A.C) This is false because -6.7 < -6.2 means that -6.7 is the smaller value.D) This is true. The value -6.2 is larger than -6.7; we can say that -6.7 < -6.2 is the same as -6.2 > -6.7 (note the two sides swap places and the inequality sign flips).E) This is true and it's directly from -6.7 < -6.2; the inequality sign has the pointed edge aimed at the smaller value, while the non-pointed side is aimed at the larger value. You can think of an alligator's mouth that represents the < sign. The alligator will eat the larger value each time, so this is where the mouth faces.F) This is false since it contradicts choice E above. I recommend drawing out a number line to help see why -6.7 < -6.2 is a true statement.