Question

Is the inequality below sometimes, always, or never true? -2(2x + 9) > -4x + 9 A. always B. sometimes C. never

Answer 1

solve it to see

distribute
-4x-18>-4x+9
add 4x both sides
-18>9
add 18 both sides
0>36
false
never true
C

Answer 2

First simplify the inequality.
-2(2x+9) > -4x+9
Distribute the -2 over parentheses.
-4x-18 > -4x+9
Add 4x to each side to get rid of it.
-18 > 9
This statement is never true because -18 can never be greater than 9.

C. Never