Question

Choose the missing step in the given solution to the inequality -2x - 14 > -4 + 3x. X

A. -5x - 14 < -4
B. -28 < x
C. 10 < x

Answer 1

To solve the inequality -2x - 14 > -4 + 3x, start by simplifying both sides, then isolate the variable. The missing step in the given solution is B. -28 < x.

Step-by-step explanation:

To solve the inequality -2x - 14 > -4 + 3x, we can start by simplifying both sides.

First, add 2x to both sides to eliminate the x terms on one side, resulting in -14 > -4 + 5x.

Next, add 4 to both sides to isolate the variable, giving -10 > 5x.

Now, divide both sides by 5 to solve for x. The inequality becomes -2 > x, which can also be written as x < -2.

Therefore, the missing step in the given solution is B. -28 < x.