Answer:
x < -7/2
Step-by-step explanation:
First, perform the indicated multiplication:
4(1-2x)>32 becomes 4 - 8x > 32.
Next, isolate the -8x term by subtracting 4 from both sides of this inequality:
-8x > 28
Finally, solve for x by dividing both sides by -8. This requires that we reverse the direction of the inequality sign:
x < -28/8, or, after reduction, x < -7/2
