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

3 (x - 2) > 21

3 (x) - 3 (2) > 21

3x - 6 > 21

+ 6 + 6

3x > 27

3 3

x > 9

Solution Set: (9, ∞), x

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