rohan2345 wrote:
If a and b are two consecutive even integers such that a > b and 3a < 2b. then which of the following describes the range of possible values for b?
A.b > 0
B.b < 0
C.b < -6
D.b > 6
E.b < 4
Since a and b are consecutive even integers and a > b, we can say that a = b + 2.
We can substitute b + 2 for a in the inequality 3a < 2b and we have:
3(b+2) < 2b
3b + 6 < 2b
b < -6
Answer: C



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