Question

If 4-3(2-x)<10+x what is the greatest possible integer value of x?

Answer 1

4-3(2-x) < 10+x

4 -6 +3x< 10 + x

-2 +3x< 10 +x

2x< 12

x<6

Answer 2

↣ First we solve the Inequality.

`4-3(2-x)<10+x`

`4-6+3x<10+x` ↣ Distribute -3 in (2-x) for easier in solving.

`3x-2<10+x\\3x-x<10+2\\2x<12\\x<6`

Thus, the answer is x < 6.

↣ Therefore, the greatest possible Integer value of x is 5.