How do you solve #abs((2x+1) / (x-3))> 3#?
2 Answers
Everything except 3.
Explanation:
This means that either:
Multiplying both sides by (x-3) gives us
Which simplifies to
And now we can algebraically reduce this to get a simple answer.
In simple terms (I like simple),
Explanation:
with exclusion
So we are looking for:
[1]:
or
[2]:
In case [1] first subtract
If
So
Add
Divide both sides by
So case [1] gives us the solution
In case [2] first subtract
We require
Multiply both sides of the inequality by
Add
So case [2] gives us the solution
In general you can do any of the following to an inequality and preserve its truth:
(1) Add or subtract the same value on both sides of the inequality.
(2) Multiply or divide both sides of the inequality by the same positive value.
(3) Multiply or divide both sides of the inequality by the same negative value and reverse the inequality (
graph{(y-abs((2x+1)/(x-3)))*(y-3) = 0 [-17.74, 22.26, -6.8, 13.2]}