Luke can build 2 tables in a day, and he has to build more than 18 wooden tables for a client. if he works for x days, what is the simplest inequality that represents this situation?
a. x > 6
b. x > 9
c. x > 12
d. x > 15

Option: B is the correct answer.

The simplest inequality that represents this situation is:

                 B.      x > 9

It is given that:

Luke can build 2 tables in a day.

Also ,  he has to build more than 18 wooden tables for a client.

i.e. if he works for x days.

Then the total number of tables he build is: 2x

i.e.

( Since he has to build more than 18 tables)

i.e. on dividing both side of the inequality by 2 we get: