How do you solve 3+ 5t < 3(t + 1)-4(2 - t)?

1 Answer
May 27, 2017

Answer: (4,oo)

Explanation:

Solve 3+5t<3(t+1)-4(2-t)

First, let us expand everything and combine like-terms on each side:
3+5t<3t+3-8+4t

3+5t<7t-5

Now, we can subtract 5t and add 5 to both sides:
3+5t-5t+5<7t-5-5t+5

And simplify:
8<2t

Finally, we divide both sides by 2:
8/2<(2t)/2
4< t
or
t>4

which we can also write in interval notation as (4,oo)