What is the solution for this inequality? -7x < -42 what is the answer and is it greater or less then x

Our given inequality is:
-7x < -42
To solve for the inequality, we need to simplify for x and ensure we've carefully answered the question.
Currently, x is being multiplied by -7.
To get x by itself, we need to perform the opposite of what's being done.
Remember, what you do to one side of an equation/inequality, you must do to the other.

The opposite of multiplying is dividing.
Divide -7x by -7 to get x.

-7x / -7 = x
-42 / -7 = 6 (Dividing a negative by a negative makes a positive, the same goes with multiplying)

You're left with x < 6

When we divide/multiply by a negative, we need to flip the inequality with the opposite value.

Your final inequality is:
x _> 6

I hope this helps you. :)