SOLUTION: Given the compound Inequality below, solve for the solution interval and graph the solution interval on a number line.
(x <= 4 or x > 7) and (x < -2 U R)
Note: R represents rea
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-> SOLUTION: Given the compound Inequality below, solve for the solution interval and graph the solution interval on a number line.
(x <= 4 or x > 7) and (x < -2 U R)
Note: R represents rea
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Question 1183776: Given the compound Inequality below, solve for the solution interval and graph the solution interval on a number line.
(x <= 4 or x > 7) and (x < -2 U R)
Note: R represents real numbers Answer by ikleyn(52788) (Show Source):
You can put this solution on YOUR website! .
Given the compound Inequality below, solve for the solution interval and graph the solution interval on a number line.
(x <= 4 or x > 7) and (x < -2 U R)
Note: R represents real numbers
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Notice that this set ({ x < -2 } U R) is the entire set of all real numbers.
Therefore, making intersection with the set (x <= 4 or x > 7) DOEAS NOT CHANGE the set (x <= 4 or x > 7) .
THEREFORE, the intersection (x <= 4 or x > 7) and (x < -2 U R) is equal to (x <= 4 or x > 7).
The latest set is the union of {x <= 4} and {x > 7}.
The plot is shown below
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0 4 7
