Given that an integer lies between $-2.7 and -3 2/5$ , which of the following are true. The integer is: $(A) -2, (B) -3, (C) -3.5, (D) -4$ ?

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Answer 1 · 2017-04-10T03:34:33

B $(-3)$

Let $n$ be the integer, We are told that $n in ZZ$

We are also told that: $-2.7>n> -3 2/5$

i.e. $-2.7>n> -3.4$

Testing each option in turn:

A: $-2> -2.7$ Hence $n!= -2$

B: $-3< -2.7$ and $-3> -3.4$ Hence $n = -3$ is a valid option

C: $-3.5< -3.4$ also $-3.5 !in ZZ$ Hence $n!= -3.5$

D: $-4< -3.4$ Hence $n!= -4$

Therefore answer B $(-3)$ is the only valid option.

Given that an integer lies between -2.7 and -3 2/5-2.7 and -3 2/5, which of the following are true. The integer is: (A) -2, (B) -3, (C) -3.5, (D) -4(A) -2, (B) -3, (C) -3.5, (D) -4 ?