Question

Solve the inequality 4y+2(2y-4)<2(2y+4) not sure how to write solution in interval notations

Answer 1

We have the following inequality:

4y + 2(2y-4) < 2(2y+4)

We can distribute the terms and we got:

4y + 4y -8 < 4y +8

8y -8 < 4y +8

We cna subtract 4y in both sides and we got:

4y -8 < 8

Adding 8 in both sides we got:

4y < 16

And dividing both sides by 4 we got:

y < 16/4

y < 4

And in the interval form would be:

`(-\infty,4)`