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IAX0010 Discrete Mathematics [2026 spring]

IAX0010 Discrete Mathematics [2026 spring]

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decide, whether this sentence is TRUE or FALSE :

"atomic proposition" consists of many simple propositions

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If there are no parentheses defining order of operations

and

if a logical expression contains operations

CONJUNCTION;

DISJUNCTION;

NEGATION of a single variable

first must be done operation . . .

. . . thereafter must be done . .

. . . and the last operation from those three is

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select correct descriptions for the Terms Tautology Contradiction Contingency Biconditional Conclusion Hypothesis

HYPOTHESIS is the first operand of the operation IMPLICATION

TAUTOLOGY is a proposition, which is always TRUE

BICONDITIONAL is the same logical operation as EQUIVALENCE

BICONDITIONAL is the same logical operation as IMPLICATION

CONTINGENCY is a proposition, which can be sometimes FALSE and sometimes TRUE

TAUTOLOGY is a proposition, which is always FALSE

CONTRADICTION is a proposition, which is always TRUE

CONTRADICTION is a proposition, which is always FALSE

CONCLUSION is the second operand of the operation EQUIVALENCE

CONTRADICTION is a proposition, which does not have any Truth value

CONCLUSION is the second operand of the operation IMPLICATION

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How many different logical operations are used in Propositional Logic / Propositional Calculus ?

( enter the correct count / number : )

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select the correct verbal description for every expression :

8th expression is :

9th expression is :

6th expression is :

3rd expression is :

2nd expression is :

5th expression is :

7th expression is :

1st expression is :

4th expression is :

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What NAMES have these Set Identities (equations) ?

3rd identity / equation is . . .

1st identity / equation is . . .

2nd identity / equation is . . .

4th identity / equation is . . .

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check 3. and 4. to pass this question correctly :

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find out for every diagram, which expression matches to green-colored set on this diagram ?

green set on rightside diagram is represented by . . .

green set / area on middle diagram is represented by . . .

green set / area on leftside diagram is represented by . . .

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which equations in this list are always valid ?

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find out, which set expression in left column equals to which set expression in right column :

3rd expression in left column equals . . .

9th expression in left column equals . . .

8th expression in left column equals . . .

2nd expression in left column equals . . .

6th expression in left column equals . . .

1st expression in left column equals . . .

5th expression in left column equals . . .

4th expression in left column equals . . .

7th expression in left column equals . . .

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