What solution of 2(t-1)+3t<2

Answer 1

To solve the inequality 2(t-1)+3t<2, we need to simplify the inequality and isolate the variable t.

First, distribute the 2 to (t-1):
2t - 2 + 3t < 2

Combine like terms:
5t - 2 < 2

Add 2 to both sides to isolate t:
5t < 4

Finally, divide both sides by 5 to solve for t:
t < 4/5

Therefore, the solution to the inequality 2(t-1)+3t<2 is t < 4/5.