Question

Is the inequality always, sometimes or never true?

1. 9(x+2) > 9(x-3)


2. 6x-13 < 6(x-2)


3. -6(2x-10) + 12x less than or equal to 180.

Answer 1

1 ) 9 x + 18 > 9 x - 27
9 x - 9 x > - 27 - 18
0 * x > - 45
Always true
2 ) 6 x - 13 < 9 x - 12
6 x - 6 x < - 12 + 13
0 * x < 1
Always true
3 ) - 6 ( 2 x - 10 ) + 12 x ≤ 180
- 12 x + 60 + 12 x ≤ 180
0 * x ≤ 180 - 60
0 * x ≤ 120
Always true.