Question

-3(2x+4) > -6x+7 determine whether the inequality is always, sometimes, or never true.

A) Always
B) Sometimes
C) Never
D) Depends on x

Answer 1

After simplifying the inequality -3(2x+4) > -6x+7, it becomes -12 > 7, which is always false. Thus, the inequality is never true.

Step-by-step explanation:

To determine whether the inequality -3(2x+4) > -6x+7 is always, sometimes, or never true, we need to simplify and solve it step by step:

• Multiply the terms inside the parenthesis by -3: -3(2x) - 3(4) > -6x + 7, which simplifies to -6x - 12 > -6x + 7.
• Next, we observe that the '-6x' terms on both sides of the inequality will cancel each other out if we add '6x' to both sides. This leads to -12 > 7.
• This statement is clearly false since -12 is not greater than 7. Therefore, the inequality is never true.