I=

Interest rates buy houses.\

H=

More people\ (b)\

S=

The stock mart goes up.\

U=

Unemployme

U

as above, write each implication, its converse, and its\ (c)\ With

I

,\ (b)

U=>H

\ (c)

S=>(I^(^())H)

\ (a)

I=>S

\ With

I,H,S

, and

U

as above, write each statement as a sentence.\ (d)

(H^(^())S)=>U

\ (a)

H=>U

\ (e)

(S=>U)

\ (d)\ (b)

ILongleftrightarrowH

\ (c)

I=>(H^(^())U)

\ Write each sentence in symbolic form, using

I,H,S

, and

U

as above,\ (a) Interest rates go down only if unemployment goes up.\ (b) The stock market does not go up if interest rates go down and more peoplef\ houses.\ (d) If interest rates do not go down, the stock market does not go up.\ (e) If more people buy houses and unemployment does not go up, then the\ market goes up.\ (f) If unemployment goes up, more people buy houses only if interest

^(rates )

go

_(0)

\ down.\ With

I,H,S

, and

U

as above, complete these sentences in words.\ (a)

S=>U

is false if and only if ...\ (b) The converse of

S=>U

is false if and only if ...\ (c) The contrapositive of

I=>U

is false if and only if ...\ \ Find the converse and contrapositive of each implication below.\ (a) If my sister visits, then we will eat out.\ (b) If you knock and I am in, then I will answer.

S= The stock market g U= Unemployment goes up. (a) (d) (HS)U 2. With I,H,S,U (a) HU (e) (SU) (b) IH (c) I(HU) 3. Write each sentence in symbolic form, using I,H,S, and U as above, (a) Interest rates go down only if unemployment goes up. (b) The stock market goes not go up if interest rates go down and more people houses. (d) If interest rates do not go down, the stock market does not go up. (e) If more people buy houses and unemployment does not go up, then the market goes up. (f) If unemployment goes up, more people buy houses only if interest rates down. 4. With I,H,S, and U as above, complete these sentences in words, (a) SU is false if and only if ... (b) The converse of SU is false if and only if ... (c) The contrapositive of IU is false if and only if ... 5. Find the converse and contrapositive of each implication below. (a) If my sister visits, then we will eat out. (b) If you knock and I am in, then I will