SOLUTION: Numbers a and b are located to the left of c on a number line. Select all the inequalities that could be true. A a < b < c B b < c < a C c < a < b D a = b and b < c E b < a

Algebra ->  Number-Line -> SOLUTION: Numbers a and b are located to the left of c on a number line. Select all the inequalities that could be true. A a < b < c B b < c < a C c < a < b D a = b and b < c E b < a       Log On


   

Question 1208086: Numbers a and b are located to the
left of c on a number line. Select all
the inequalities that could be true.
A a < b < c
B b < c < a
C c < a < b
D a = b and b < c
E b < a < c
Answer by greenestamps(13196) About Me  (Show Source):
You can put this solution on YOUR website!


a and b are both to the left of c on the number line. So, when the inequalities are written in the standard form, with the smaller numbers to the left (as all the answer choices are), then c must be the last (rightmost) number in the inequality. Furthermore, the inequality must end with "... < c".

So answer choices B and C are not possible.

The given information says nothing about the relationship between a and b, so answer choices A, D, and E are all possible.

ANSWER: A, D, E