Question

In the inequality -4n + 3 > 7, you will need to flip the inequality sign to solve for n. True False

Answer 1

True because you need to divide by -4 at one stage. Dividing by a negative number will reverse the inequality.

Explanation:

`-4n+3>7\\\\\implies -4n >7-3\\\\\implies -4n> 4\\\\\implies n<(4)/(-4)\\\\\implies n<-1\\\\\text{Interval,}~ (-\infty, -1)`