## anonymous 4 years ago 4 + x/2 > 2x How do I solve it? Please and Thank you!

1. anonymous

4 + x/2 > 2x multiply both sides by 2 to get 4 + x > 4x bring x over 4> 4x - x 4 >3x 4/3 > x

2. Hero

You multiplied both sides by 2 but still have 4 on the left side?

3. anonymous

i saw it as (4 + x)/2

4. Hero

4 + x/2 > 2x 4 + x/2 >4x/2 4 > 4x/2 - x/2 4 >(4x - x)/2 4 > 3x/2 4*2 > 3x 8 > 3x 8/3 > x

5. Hero

I don't know which one it is either

6. anonymous

well i guess the writer will have to verify

7. Hero

@akb48, is it $\frac{4 +x}{2} > 2x$ or $4 + \frac{x}{2} > 2x$

8. anonymous

The second one.

9. anonymous

multiply by 2 you get 8 + x > 4x subtracting x 8 > 3x dividing by 3 8/3 > x x < 8/3 $x \in (-\infty, \frac{ 8 }{ 3 } )$