Question 169837
Two-thirds of a number is less than eight. Find the largest integer that will satisfy the inequality.

A. 12
B. 11
C. 10
D. 13


First find: two-thirds of x is eight.  Once you do that, the solution to: "Two-thirds of a number is less than eight" would be any number less than x.


{{{(2/3)x=8}}}
{{{(2/3)x*(3/2)=8(3/2)}}}
{{{x=12}}}


"Two-thirds of a number is less than eight"---the number is less than x, which is 12, so it would anything 11 and under.


So the largest integer to satisfy that would be 11.