Graphing and Solving Quadratic Inequalities (3 Problems)
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State the solution set using interval notation and graph the solution set.
Please check these for me and graph them.
I do not know how to use a graphing tool.
If you also have any advice on how & what tool I can use to graph, it would be helpful.
Please do not handwrite the Graphs because I can not view scanned photos on my computer. Thanks a lot.
Quadratic inequalities.
State the solution set using interval notation and graph the solution set.
p.569 #12
a>0 or x<-2
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Quadratic inequalities are solved and graphed. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.
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State the solution set using interval notation and graph its solution set .
Note : They have only asked for graph of the solution set ( which is basically a number line denoting the set of real numbers ) and not for the graph of the expressions given .
12. Given x2 + x > 0 x ( x + 1 ) > 0
Rule (i) : a . b = + ve then either both ' a ' and ' b ' got to be positive or
negative .
Numerical example : 2 times 3 = 6 or (-2 ) times ( -3 ) = 6
That makes :
x > 0 or x + 1 > 0
consider x + 1 > 0 , subtract 1 from both the sides to get : x > - 1
x > 0 or x > -1
common region : x > 0
Writing it in mathematical notation , we have : x in ( 0 , )
x < 0 or x + 1 < 0
consider x + 1 < 0 , subtract 1 from both the sides to get : x < - 1
x < 0 or x < - 1
common region : x < - 1
Writing it in mathematical notation , we have : x in ( - , -1 )
Note : open brackets means the set doesn't include the end points . Infinity denoted by ' ' stands for the extreme point or the maximum end value in the number line , the set of real numbers .
so the solution our given expression is ( - , - 1 ) U ( 0 , )
graph of this solution set is as given below :
Note : circle in the graph ...
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