Question

Which of the following inequalities could be the result of the first step ​in solving the inequality​ 3(x-4) ≤ 8x+13 for x

Answer 1

To solve the inequality 3(x - 4) ≤ 8x + 13 for x, you can start by distributing the 3 on the left side:

3x - 12 ≤ 8x + 13

Now, you want to isolate the variable x on one side of the inequality. To do that, you can subtract 3x from both sides:

-12 ≤ 8x - 3x + 13

-12 ≤ 5x + 13

Now, subtract 13 from both sides to isolate the 5x term:

-12 - 13 ≤ 5x

-25 ≤ 5x

Now, you have the inequality:

-25 ≤ 5x

This is the result of the first step in solving the given inequality. So, the answer is:

-25 ≤ 5x