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
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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(13370) (Show Source):
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.