What is the correct first step in solving the inequality 42x + 15 > 3x?

by

To solve the inequality 42x + 15 > 3x, the first step is to isolate the variable on one side of the inequality. This can be done by getting all the terms containing x on one side and the constant terms on the other side.

First, subtract 3x from both sides:

42x + 15 - 3x > 3x - 3x

This simplifies to:

39x + 15 > 0

Now, you will want to isolate x further by subtracting 15 from both sides:

39x + 15 - 15 > 0 - 15

This gives:

39x > -15

Finally, divide both sides by 39 to solve for x:

x > -\frac{15}{39}

Simplifying gives:

x > -\frac{5}{13}

So, the correct first step in solving the inequality is to rearrange the terms by subtracting 3x from both sides. This sets up the problem for further isolation of x, leading to the final solution.

Leave a Comment