Question

three times the difference of x and 2 is greater than -21

Answer 1

three times (3 times something) the difference of x and 2 (2-x) is  greater than (>) -21 (-21)
3 times (2-x)>-21
3(2-x)>-21
distrobite using distributiver poerpoty
a(b+c)=ab+ac
3(2-x)=6+(-3x)=6-3x
6-3x>-21
add 3x to both sides
6>-21+3x
add 21 to both sides
27>3x
divide both sides by 3
9>x
x<9
so x= any number below 9 not including 9

Answer 2

     3(x - 2) > 21
3(x) - 3(2) > 21
       3x - 6 > 21
           + 6   + 6
            3x > 27
             3      3
              x > 9
Solution Set: (9, ∞), {x|x > 9}