SOLUTION: Let A = {x | x < 5} and B = {x | x &#8804; 7}. Find A U B. {x | x < 5} {x | x &#8804; 5} {x | x &#8804; 7} {x | 5 < x &#8804; 7}

Algebra ->  Graphs -> SOLUTION: Let A = {x | x < 5} and B = {x | x &#8804; 7}. Find A U B. {x | x < 5} {x | x &#8804; 5} {x | x &#8804; 7} {x | 5 < x &#8804; 7}      Log On


   

Question 824135: Let A = {x | x < 5} and B = {x | x ≤ 7}.
Find A U B.

{x | x < 5}
{x | x ≤ 5}
{x | x ≤ 7}
{x | 5 < x ≤ 7}
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A U B means "either A or B" in a sense, which basically means that x is either less than 5 OR x ≤ 7

Put together, this means that x ≤ 7 because x < 5 is part of x ≤ 7

Which is why the answer is {x | x ≤ 7}