Find the largest integer such that 8 more than six times the integer is less than -42.?

1 Answer

The largest integer that satisfies this is -99.

Explanation:

Translating this into an equation would be:

"Find the largest integer xx such that 6x+8<-426x+8<42."

Simplifying the inequality:

6x+8<-426x+8<42

6x<-506x<50

x<-\frac{50}{6}x<506

x<-8.333x<8.333

So, the largest integer less than -8.3338.333 would be -99.