Asked by Anonymous
Show all work
solve the Math: Polynomial inequality and express the solution in set notation.
2t^2 - 3 < or = to t
solve the Math: Polynomial inequality and express the solution in set notation.
2t^2 - 3 < or = to t
Answers
Answered by
Steve
Inequalities involving parabolas can get interesting.
Solve as an equation:
2t^2 - t -3 = 0
(t+1)(2t-3) = 0
t = -1 or 3/2
Think now of the graphs of 2t^2 - 3 and t
You want the region where the parabola is below the line. That is,
-1 <= x <= 3/2
Of course, you can do analysis of the factors, considering positive and negative values, but it's a lot more work, and gets you the same result.
Solve as an equation:
2t^2 - t -3 = 0
(t+1)(2t-3) = 0
t = -1 or 3/2
Think now of the graphs of 2t^2 - 3 and t
You want the region where the parabola is below the line. That is,
-1 <= x <= 3/2
Of course, you can do analysis of the factors, considering positive and negative values, but it's a lot more work, and gets you the same result.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.