Explanation:
To find the solution to the inequality 0.125x + 1 - 0.25x < -3, we can simplify and solve for x.
0.125x + 1 - 0.25x < -3
Combining like terms:
-0.125x + 1 < -3
Subtracting 1 from both sides:
-0.125x < -4
Now, to isolate x, we divide both sides by -0.125. However, since we are dividing by a negative number, we need to reverse the inequality sign:
x > -4 / -0.125
Simplifying the division:
x > 32
Therefore, the solution to the inequality 0.125x + 1 - 0.25x < -3 is x > 32.