## anonymous one year ago how do i do an equation like this [2x-3]<7 ?

1. anonymous

You solve it like you would a normal equation, the only difference is when you try to divide to get x by itself. If you divide by a negative number you flip the "<" to a ">"

2. anonymous

ok can you be more specific?

3. anonymous

$2x-3<7$ $2x<10$ $x = \frac{ 10 }{ 2 }$ $x = 5$

4. anonymous

Those last 2 "=" should be "<", sorry

5. anonymous

To what I said earlier, if it was: -2x < 10 In order to solve for x you would have to divide by 'negative' 2. Since you divide by a negative you just flip the sign to a >

6. anonymous

Make sense?

7. anonymous

yeah i think im getting it

8. anonymous

Good. Only way to get good at math is practice

9. Hero

I think you meant this: |2x-3|< 7

10. Hero

@Dragonjuice97

11. anonymous

yeah

12. anonymous

Oh it's an absolute value? Ok it's going to be a little different

13. anonymous

Ok, first you have to get the absolute value by it self, in this chance it already is. Now, you need to have 2 equations. One is set equal to 7, and the other equal to -7 so, $2x-3 < -7$ and $2x-3<7$

14. anonymous

Then you just solve both of them like I did earlier. You'll get 2 values, one from each equation. Make sense?

15. anonymous

yeah

16. anonymous

First you add 3 to both sides so that you get : 2x = 10. Now divide both sides by 2 and what do you get?

17. anonymous

What answers did you get?

18. anonymous

The answer is 5.

19. anonymous