Is the inequality always, sometimes or never true?

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

answer is 2>3 and i said it's never true, right?

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

answer is 6x-13 < 6x-12 my answer is sometimes

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

In order to understand if the inequalities are always, never or sometimes true, you need to perform the calculations:

A) 9 (x+2) > 9 (x-3)

9x + 18 > 9x - 27

the two 9x cancel out and you get:

+18 > - 27

which is always true.

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

6x - 13 < 6x - 12

the two 6x cancel out and you get:

- 13 < - 12

which is always true

C) - 6 (2x-10) + 12x ≤ 180

-12x + 60 + 12x ≤ 180

-12x and + 12x cancel out and you get:

60 ≤ 180

which is always true.

All three cases are always true.