Question

Consider this statement : F ( A ? B ) ? F ( A) ? F ( B ) where ? represent intersect. Is this state true ? if so why? if false, why it's false?

Answer #1

Is the following statement true?
"If f (Y − X) = f (Y ) − f (X) for all sets X and Y with X ⊆ Y ⊆
A, then f : A → B is injective."
Please provide a proof if it is true, and a counterexample if it
is false.

consider the statement "The quotient of any two
rational numbers is a rational number."
A. Determine whether the statement is true or false if
true prove the statement directly fron the definitions and if false
provide a counter example
B.In case the statement is false, determined whether a
small change would make it true. if so, make the change and prove
the new statement
C. Follow the directions for writing proofs on pg
154-6

Let f : A → B and g : B → C. For each statement below either
prove it or construct f, g, A, B, C which show that the statement
is false.
(a) If g ◦ f is surjective, then g is surjective.
(b) If g ◦ f is surjective, then f is surjective.
(c) If g ◦ f is injective, then f and g are injective

5. Determine whether the following statements are TRUE or FALSE.
If the statement is TRUE, then explain your reasoning. If the
statement is FALSE, then provide a counter-example. a) The
amplitude of f(x)=−2cos(X- π/2) is -2 b) The period of
g(x)=3tan(π/4 – 3x/4) is 4π/3.
. c) If limx→a f (x) does not
exist, and limx→a g(x) does not exist, then limx→a (f (x) + g(x))
does not exist. Hint: Perhaps consider the case where f and g are
piece-wise...

Consider a country that imports a good from abroad. For the
following statement, state whether it is true or false. Explain
your answer
"the greater the elasticity of demand, the greater the gains
from trade"

State whether the statement is true or false. Also,please give a
simple and clear explanation.
A. let a,b ∈Sn, then |ab| is the least common multiple of |a|
and |b|.
B.Let G and H be groups and suppose N is a normal subgroup of G.
Then there exists a homomorphism from f: G → H,where N is the
kernel of f.

Consider a country that imports a good from abroad. For the
following statement, state whether it is true or false. Explain
your answer.
“if domestic supply is perfectly inelastic, consumers do not
benefit from trade.”

Let A, B be sets and f: A -> B. For any subsets X,Y subset of
A, X is a subset of Y iff f(x) is a subset of f(Y).
Prove your answer. If the statement is false indicate an
additional hypothesis the would make the statement true.

1.) State whether this statement below is true or
false? (Explain why)
Statement:
"T distribution is symmetric around zero"

1a. Is the following statement true or false? Based on
convention, a positive torque is the one that causes clockwise
rotation; a negative torque is the one that causes counterclockwise
rotation.
b. Is the following statement true or false? For a nonzero force
applied on a rod, its torque can be zero.
c. Is the following statement true or false? The moment arm for
a force and the line of action for the same force will always be
perpendicular.
d....

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 12 minutes ago

asked 15 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago