Better Students Ask More Questions.
Define the following point of inequality related to set theory- (a+(1/2)) > 2 ∀...
2 Answers | add yours
The logical operator symbol `AA` represents a common quantifier in mathematical logic and it represents that the given proposition is true for any value of variable involved in proposition.
`a + 1/2 >= 2` , `AA a> 0` can be translated as the inequality `a + 1/2 >= 2` holds for any positive value of `a`
You may also notice that the above statement is not valid since not all positive values of `a` make the inequality to hold. Solving the inequality, you may find what are the real positive values of a that make the inequality possible.
`a >= 2 - 1/2 => a >= (4 - 1)/2 => a >= 3/2`
Hence, the given inequality is valid for all `( AA ) a>= 3/2` .
Hence,as a conclusion regarding the logical operators, the logical quantifier `AA` as well as the existential quantifier `EE` represents the most common two logical operator symbols in theory of sets.
Posted by sciencesolve on June 2, 2013 at 1:30 PM (Answer #2)
High School Teacher
As per the question,
a + o.5 can never be equal to 2 for a = 1. It is 1+0.5 = 1.5.
∀ means for all.
Posted by alpavasavada on November 15, 2010 at 3:06 PM (Answer #1)
Join to answer this question
Join a community of thousands of dedicated teachers and students.