## anonymous 3 years ago What is the solution set of |4x – 3| – 2 > 3? x < –0.5 or x > 8 x < 0.5 or x > 8 x < –0.5 or x > 2 x < –2 or x > 2

1. anonymous

|4x-3|>5 -5>4x-3>5 -2>4x>8 -1/2>x>2

2. helder_edwin

use this $\large |a|>b\Leftrightarrow a>b \vee a<-b$

3. helder_edwin

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4. anonymous

i dont understand this

5. helder_edwin

if you need a number that, in absolute value, has to be greater than 5 what would you choose?

6. anonymous

5

7. helder_edwin

no 5=5 i said >5

8. anonymous

6 7 8 9

9. helder_edwin

but do you agree that is could also be -6 -7 -8 -9?

10. helder_edwin

remember it is in absolute value

11. anonymous

ok so when solve this question i got the answer x<0.5 or x>8

12. helder_edwin

no

13. helder_edwin

$\large |4x-3|-2>3$ $\large |4x-3|>3+2=5$ $\large 4x-3>5\qquad\vee\qquad 4x-3<-5$

14. anonymous

thank u

15. helder_edwin

did you get it?

16. anonymous

yes a little

17. helder_edwin

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