SOLUTION: solve and graph the solution set:
((2x-1)(x+3))/(x-4) ≤0
Algebra.Com
Question 206702This question is from textbook intermediate algebra
: solve and graph the solution set:
((2x-1)(x+3))/(x-4) ≤0
This question is from textbook intermediate algebra
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve and graph the solution set:
((2x-1)(x+3))/(x-4) ≤0
------------------------------------
Draw a number line and mark x = 1/2, -3, and 4
--------------------
x = 1/2 and x = -3 are part of the solution set. x=4 is not allowed.
---------------------------------
You want to know when the left side is negative so check the sign
of the left side with check values in the intervals of the number line.
Check x = -5
The left signs are: -*-/- < 0 so solutions in (-inf,-3)
---
Check x = 0
The left signs are: -*+/- > 0 so NO solutions in (-3,1/2)
---
Check x = 2
The left signs are +*+/- < 0 so solutions in [1/2,4)
-------
Check x = 5
The left signs are: +*+/+ > 0 so NO solutions in (4,+inf)
================================
Cheers,
Stan H.
RELATED QUESTIONS
Solve: 3+2(1-x)>6 or 2x+14≤8. Graph the solution set on a number... (answered by CubeyThePenguin)
What graph represents the solution set of the system of linear inequalities
2x + 3y - 2... (answered by Fombitz)
Solve the compound inequality. Graph the solution set and give the solution in interval... (answered by lwsshak3)
solve and graph the solution set for 2x+1<3-x<... (answered by stanbon)
x(1 − 2x) ≤ 0 solve and graph the non linear... (answered by 428225)
If 0 ≤ x ≤ 8 and − 1 ≤ y ≤ 3 which of the following gives... (answered by Fombitz)
Solve, and put answer in to interval notation and graph the solution set... (answered by lynnlo)
2x + 4 ≤ x +5
the solution set is {x/x ≤... (answered by scott8148)
Solve and graph the solution set: 5x-4(6+2x)<2(1-x)
(answered by Fombitz)