Final answer:
The original inequality, 4t - 3 > 37t - 50, was solved by rearranging terms and dividing by -33 which reversed the inequality, yielding the solution t < 1.44.
Step-by-step explanation:
The original inequality presented, 4t - 3 > 37t - 50, is mistakenly combined with the instructions to use the quadratic formula for a different equation (t² + 10t - 2000). To solve the given linear inequality for 't', you simply move all terms involving 't' to one side and constant terms to the other side.
Subtract '37t' from both sides:
4t - 37t > -50 + 3
Combine like terms:
-33t > -47
Now, divide by '-33' to solve for 't'. Remember that dividing by a negative number reverses the inequality:
t < ⅔ or t < 1.⅔4
The solution to the inequality is all values of 't' that are less than approximately 1.⅔4.