Question
Solving the inequality for x, which statement shows a good first step and which is the correct solution?
x−6<x4
(2 points)
Statement for a good first step:
To solve the inequality x−6<x4, start by adding 6 to both sides.
Correct solution:
After adding 6 to both sides, the inequality becomes:
x - 6 + 6 < x + 4
x < x + 10
To solve the inequality x - 6 < x/4, let's start by subtracting x from both sides:
x - x - 6 < x/4 - x/4
Simplifying this:
-6 < -3x/4
To find the solution, we need to find the value of x that satisfies this inequality. However, in the given options, there doesn't seem to be a good first step or a correct solution provided. Would you like me to solve the inequality further to find the solution?