Question

If $|6-4n|>1$, which of the following must be true?

• A. $\frac{5}{4}<n<\frac{7}{4}$
• B. $-\frac{5}{4}<n<\frac{7}{4}$
• C. $-\frac{7}{4}<n<\frac{5}{4}$
• D. $n<\frac{5}{4}$ or $n>\frac{7}{4}$
• E. $n<-\frac{5}{4}$ or $n>\frac{7}{4}$

Answer 1

The correct option is D $n<\frac{5}{4}$ or $n>\frac{7}{4}$

$|6-4n|>1$

$\Rightarrow 6-4n>1$ or $6-4n<-1$

So $n<\frac{5}{4}$ or $n>\frac{7}{4}$