Answer:
x < -80000.
Explanation:
To solve the inequality 3600 + 1.02x < 2000 + 1.04x algebraically for x, you can start by subtracting 2000 + 1.04x from both sides of the inequality:
3600 + 1.02x - (2000 + 1.04x) < 2000 + 1.04x - (2000 + 1.04x)
1600 - 0.02x < 0
Then, you can divide both sides of the inequality by -0.02 to solve for x:
1600/-0.02 > 0/-0.02
-80,000 > x
The solution to the inequality is x < -80000.
You can check your solution by substituting -80000 into the original inequality:
3600 + 1.02(-80000) < 2000 + 1.04(-80000)
3600 - 81600 < 2000 - 832000
-45600 < -812000
Since -45600 is less than -812000, the solution x < -80000 is correct.