SOLUTION: Use the graph of the inequality to find each set. Let A = {x|x>3}, B = {x|x≤6}. Find (a) A∪B and (b) A∩B

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Question 1086055: Use the graph of the inequality to find each set. Let A = {x|x>3}, B = {x|x≤6}. Find (a) A∪B and (b) A∩B
Answer by MathLover1(20850) About Me  (Show Source):
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Let A = {x|x>3}
+graph%28+600%2C+600%2C+-50%2C+50%2C+-10%2C+10%2C+x%3E3%29+
so, A = {4},{5},{6},{7},{8},.................{ infinity }
B = {x|x≤6}
+graph%28+600%2C+600%2C+-50%2C+50%2C+-10%2C+10%2C+x%3C=6%29+
so, B ={ -infinity }, .................,{-1},{0},{1},{2},{3},{4},{5},{6}
(a) A∪B ={ -infinity }, .................,{-1},{0},{1},{2},{3},{4},{5},{6},{7},{8},.................{ infinity }=> all real numbers R

+graph%28+600%2C+600%2C+-50%2C+50%2C+-10%2C+10%2C+-50%3Cx%2Cx%3C50+%29+

and (b) A∩B ={4},{5},{6}
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+4%3C=x%3C=6+%29+