Question

Is the inequality sometimes,always, or never true ?

A. 3(x +3) >- 3 (2 +x)
B. 9-x-5<-x+4

Answer 1

A. 3(x + 3) > -3(2 + x)  SOMETIMES TRUE

3(x + 3) > -3(2 + x)      |use distributive property a(b + c) = ab + ac

3x + 9 > -6 - 3x      |add 3x to both sides

6x + 9 > -6     |subtract 9 from both sides

6x > -15    |divide both sides by 6

x > -15/6

x > -2.5

B. 9 - x - 5 < - x + 4      NEVER TRUE

9 - x - 5 < - x + 4

4 - x < - x + 4    |add x to both sides

4 < 4 FALSE