- #1

- 393

- 10

## Main Question or Discussion Point

I have been stuck on two question for sometime, and would appreciate some guidance to where I am going wrong. Here are the two questions I seem to have trouble understanding.

1. 2x+5 < x-1/4

I have had numerous attempts at this equation and seem to get the answer wrong each time. The book says the ans= - 3. Here a the two methods I have tried to get the correct answer:

first attempt: 2x+5 < x-1/4 = 2x-x > -1 -5 / 4 = x > -6 / 4

second attempt: 2x+5 < x-1/4 = 4(2x+5) < 4(x-1/4) = 8x+20 < 4x - 4/4 = 8x+20= x

8x-x+20=0 = 8x-x= 20 which I then simplify to x = 20/7. As you can properly tell I am not getting the right answer could some please set me straight.

2. 4^2n-3= 16

This question I would apprectiate if someone could show how to work this out, as I seem to have no idea where to start. I would normally try and find something related to it on Google but have had no such luck. I don't really know where to look. Is there a specific name for the type of equation?

1. 2x+5 < x-1/4

I have had numerous attempts at this equation and seem to get the answer wrong each time. The book says the ans= - 3. Here a the two methods I have tried to get the correct answer:

first attempt: 2x+5 < x-1/4 = 2x-x > -1 -5 / 4 = x > -6 / 4

second attempt: 2x+5 < x-1/4 = 4(2x+5) < 4(x-1/4) = 8x+20 < 4x - 4/4 = 8x+20= x

8x-x+20=0 = 8x-x= 20 which I then simplify to x = 20/7. As you can properly tell I am not getting the right answer could some please set me straight.

2. 4^2n-3= 16

This question I would apprectiate if someone could show how to work this out, as I seem to have no idea where to start. I would normally try and find something related to it on Google but have had no such luck. I don't really know where to look. Is there a specific name for the type of equation?