Is the inequality below sometimes, always, or never true?
-2(2x + 9) > -4x + 9
A. always
B. sometimes
C. never
C ?
-2(2x + 9) > -4x + 9
-4x - 18 > -4x + 9
-18 > 9
Never
To determine if the inequality -2(2x + 9) > -4x + 9 is sometimes, always, or never true, we can solve it step by step:
1. Distribute -2 to both terms inside the parentheses: -4x - 18 > -4x + 9.
2. Let's simplify the inequality by canceling out the -4x terms on both sides: -18 > 9.
Now, let's evaluate the simplified inequality:
Since -18 is not greater than 9 (in fact, it is less than 9), the inequality -2(2x + 9) > -4x + 9 is NEVER true.
Therefore, the correct answer is C. Never.