Question

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

a. Always true
b. Sometimes true
c. Never true
d. Depends on x values

Answer 1

The inequality -3(2x - 4) > -6x + 7 is always true for any value of x.

Step-by-step explanation:

To determine whether the inequality -3(2x - 4) > -6x + 7 is always, sometimes, or never true for x, we can simplify and solve the inequality.

First, distribute the -3 to the terms inside the parentheses:
-6x + 12 > -6x + 7

Next, move the -6x term to the other side of the inequality:
12 > 7

Since 12 is greater than 7, this inequality is always true for any value of x.