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sagesstillneedtolearn
|2x+1|-3>6
i would like someone to walk me through how to solve these types of equations.
|2x+1| > 6 = -3 ?
ohhh, my bad lol but why start with the 3?
|2x+1|>6+3 we know that |x|>a(a is a constant) is nothing but -a<x<a. so here it is -9<2x+1<9 then -10<2x<8 this implies -5<x<4.This is the range of x which satisfies the given inequality.
Can you simplify it?
|2x+1| > 9
The absolute value always have 2 cases: positive value 2x+1 > 9 Can you solve it?
2x+1 > 9 x > (9 -1)/2 = 8/2 = 4
second case is negative value, pay attention that the direction changed: 2x+1 < -9
im a bit confused, sorry.
alright, thankyou very much :D i'll be back later with more equations to practice with.