Final answer:
The inequality that represents all values of x⁴y less than or equal to 8x - 2(1 - 5x) when y equals -20 is -20x⁴ - 18x + 2 ≤ 0.
Step-by-step explanation:
The question asks to write the inequality that represents all values of x4y that are less than or equal to 8x - 2(1 - 5x) when y equals -20. We are given the inequality x4y ≤ 8x - 2(1 - 5x). To solve this, we substitute y with -20 and simplify:
x4(-20) ≤ 8x - 2(1 - 5x)
Now we simplify the right side:
-20x4 ≤ 8x - 2 + 10x
Bringing all terms to one side gives us:
-20x4 - 18x + 2 ≤ 0
This is the required inequality that must be solved to find all values of x.