L5 : Quantifiers - Mathematical Reasoning, Mathematics, Class 11 Video Lecture

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2 quantifiers are statements of phrases
like there exist or fall for example
when I say there exists a girl who is
beautiful so in that case they are
hundred rows over that one word will be
beautiful so you can see they have
existed girl I cannot say for all your
girls are beautiful because they are
some girls who are not happy but it all
depends a person to person so there
exist is huge when you have a bigger set
so you have a bigger set and from that
said some some image sets fire condition
example there exists a teacher who is
tall so you have very common dealer
suppose you have 10 teachers in school
some are short some at all
there is teacher who were to stop or
there exist a teacher was a big car some
case you may have small car some PK we
have big car so when you see there exist
that means from a bigger said you have
at least one at least one teacher who
has big car or it is the one girl is
beautiful correct or when I say there
exist a politician who is not correct so
that means in our country there so many
politicians there should be one
politician who is not that will actually
doubt the statement but there should be
one politician who is non-current such
kind of scenarios we represent using
statement there exist they exist and
then state when you say for every that
this for April prime number if you CPU
hood rupees a Russian number so you take
any prime number you cannot write number
it becomes a Russians so for every is
used when the statement is true for all
that image in the signal example let's
plug in a bigger set and you have
element 1 2 3 4 5 6 7
9 10 so if your statement is true only
for it's about these statements then you
say there's but if you worship released
or all that magenta said then you use
what every so if I say for every school
there are students or at least there are
students this different is true because
you pay any school there has to be a
pseudonym there is no strength there is
no there is no spoon
but if I say a statement like this there
exists a teacher in school as opposed in
school even in my school isolated my
spoon or in your spoon spoon in my
school who teach maths so if you see in
your school there are so many teachers
but fully few of them teach maths right
so you can say there exists a teacher in
your school to teach now you can't say
that for every teacher in your school
the teacher is not because it's not the
correct children this sums teacher teach
math some it should be not each man but
when it leaves who would never show it
so I think the concept is clear but you
are saying there exist and then it's a
statement that means you have a bigger
statement in your statement some of the
finds are true or serve their events are
true when you say for every then if
you're said all their events are and I
say for every school they are sprints
then every school has to I say there is
a teacher in my school
each man that miss all the ball that
teachers they are solely to simply smash
some teachers don't teach and I say for
every two positive numbers son is
positive so you need two positive number
if you add it it doesn't becomes
positive correct you do any new number
you add the process we say for every two
positive number the servants thank you
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