Answer to Question #290988 in Discrete Mathematics for Ali

Question

Write the statements in symbolic form

, and



and the indicated letters to

represent compound statements.

a) Let s = “stocks are increasing” and i = ”interest rates are steady”.

i. Stocks are increasing but interest rates are steady.

ii. Neither are stocks increasing nor are interest rates steady

Answer 1

Solution:

Considering the following statements as,

$\mathrm{s}=$ "stocks are increasing and

i= "interest rates are steady."

a)

Consider the following statement as,

Stocks are increasing but interest rates are steady.

The objective is to write the above statement using the symbols $\sim, \vee$ and $\wedge$ .

The symbolic form of the statement is as follows:

$s \wedge i$

The sentence means is true and is also true.

b)

Consider the following statement as,

Neither are stocks increasing nor are rates steady.

The objective is to write the above statement using the symbols$\sim, \vee$ and $\wedge$ .

The symbolic form of the statement is as follows:

$\sim s \wedge \sim i.$

The sentence means is not true and is also not true.