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.
