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b. q: 2 + 5 <10

~ q: 2 + 5 ≥ 10
D. Compound Statements

A compound statement is a combination of several single statements which is connected

by a conjunction. There are 4 kinds of compound statements:
1. Conjunction

A conjunction is a compound statement with the conjunction "and". The conjunctions
of the statements p and q are denoted by "p ∧ q" which is read as p and q. The truth table

of Conjunction ∧ :

∧

From the table, it can be seen that the conjunction is always true if both statements are

true.
Example 7:

4
: 3 = 51 is false
: 2 + 5 = 7 is true

4
∧ : 3 = 51 and 2 + 5 = 7 are false
2. Disjunction
Disjunction is a compound statement with a conjunction or. The disjunction of the

statements p and q is denoted p ∨ q, pronounced p or q
The truth table of Disjunction ∨ :

∨

From the table it appears that the disjunction is only false if both statement is false.
Example 8:

: the sum of 2 and 5 is 7 (statement is true)