To state: whether given sentence is true or false and to make a true sentence.
Answer to Problem 7SGR
The given statement is False, and True statement is “Compound inequality with ‘or’ is the union of the solution sets of the two inequalities” ”.
Explanation of Solution
Given information:
Given statement,
“Compound inequality with ‘and’ is the union of the solution sets of the two inequalities”.
Calculation:
Union represents the logical operator. For example:
Consider the inequality,
Now, solve the inequality as shown,
Hence, the solution of the inequality is
No numbers can be there which are at the same time lesser than
So, the statement cannot be connected by the word ‘and’ instead of ‘or’.
So, the given statement is False, and True statement is “Compound inequality with ‘or’ is the union of the solution sets of the two inequalities”.
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Algebra 2
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