SOLUTION: could you please solve the inequality {{{ (x+2)(x-1)(x-3)<or=0}}} Write the answer in set notation and interval notation.

Question 99397: could you please solve the inequality
Write the answer in set notation and interval notation.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve the inequality
Write the answer in set notation and interval notation.
--------------------
Solve the EQUALITY:
x = -2, x=1, x=3
-------------
Draw a number line.
Mark x=-2, x=1, and x=3 on the line.
They divide the line into four intervals.
Look for solutions for the INEQUALITY in each of the intervals.
Do this by inserting a test value into (x+2)(x-1)(x-3)<0:
In (-inf,-2)select x=-3; you get -*-*- <0 so there are solutions here
In (-2,1) select x=0; you get +*-*->0 so no solutions here
In (1,3) select x=2; you get +*+*-<0 so solutions here
In (3,+inf) select x=4; you get +*+*+>0 so no solutions here
-------------------
Final answer:
Interval notation: [-2,1] or [1,3]
Set notation: {x|-2<=x<=1}U{x|1<=x<=}
========================
Cheers,
Stan H.
RELATED QUESTIONS
solve and write the answer in set builder notation or interval notation... (answered by Fombitz)

solve the inequality and write the answer in interval notation... (answered by stanbon)

Solve the inequality (x + 3)(x + 1)(x � 5) < 0 and write the solution set both in... (answered by jim_thompson5910)

Solve the inequality. Write your answer in interval notation. (x + 1)/((x + 5)(x -... (answered by Fombitz)

x-3/x+5<=0.solve the rational inequality. write the solution set in interval... (answered by MathLover1)

solve the inequality and write the solution in interval notation x+1/x+3 >... (answered by stanbon)

solve the inequality and write the solution in interval notation 3/x-5<0 please... (answered by MathLover1,MathTherapy)

Solve the quadratic inequality. Write the solution set in interval notation.... (answered by josgarithmetic)

Solve the inequality and write the solution set in interval notation (3/5)x + (2/3) (x (answered by mukhopadhyay)