-6x + 1 < 43
To solve the inequality, we need to isolate the variable x.
First, let's subtract 1 from both sides:
-6x + 1 - 1 < 43 - 1
-6x < 42
Next, divide both sides of the inequality by -6. Remember, when we divide by a negative number, we need to reverse the inequality sign:
(-6x)/-6 > 42/-6
x > -7
So the solution to the inequality is x > -7.