Question

solve 2t < 3 + 2t

I thought it would not be solvable since I came up with 0 < 3 what am I doing wrong?

Answer 1

Is 0 less than 3?

Answer 2

that inequality always holds for all real t. :)

Answer 3

Essentially what happened was that you found the inequality to be true regardless of what t is, therefore all values for t are solutions.

Answer 4

Thanks, I thought since t canceled itself out that it was unsolvable. Thanks again.

Answer 5

It means it will either have no solutions, or all solutions depending on the truth/falsity of the statement.

If it had said 0 > 3 then it would be false for all values of t.

Answer 6

And would have no solutions.