Question

Question #dbf22

Answer 1

`x>8/3`

Explanation:

If you look at https://socratic.org/help/symbols you can find tips on formatting. Use the hash at both the start and end of any maths equations etc.

Given: `1/4(x+4)<1/5(2x+3)`

Use standard manipulation as if the < behaved the same way (sort of ! ) as an =. You have to be careful about what you are doing if you have any multiplications involving negatives. You don't!

`=> 5(x+4)<4(2x+3)`

`5x+20<8x+12`

Collecting like terms

`20-12<8x-5x`

`8<3x`

Divide by 3

`8/3 < x`

Turn it round so that it has the variable on the left. Notice that you still have to make `x` bigger than `8/3` so that turns round as well.

`x>8/3`