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# Conditional Statements (Symbolic) (Grade 10)

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## Conditional Statements (Symbolic)

1.
Symbolized $P -> Q$, it is an if-then statement in which $P$ is a hypothesis and $Q$ is a conclusion. Which choice below matches the definition?
1. Negation
2. Converse
3. Conditional statement
4. Truth values
2.
The Law of Detachment states that if $prarrq$ is true, and p is true, then q is true.
1. True
2. False
3.
1. greater than p
2. congruent with p
3. p
4. not p
4.
The negation of the statement p is ~p.
1. True
2. False
5.
Determine the contrapositive of the statement: if p, then q.
1. if ~q, then ~p
2. If p, then ~q
3. If ~p, then q
4. If q, then p
6.
Determine the converse of the statement: if p, then q.
1. If ~q, then p
2. If p, then ~q
3. If ~p, then q
4. If q, then p
7.
Determine the inverse of the statement: if p, then q.
1. If ~q, then p
2. If p, then ~q
3. If ~p, then q
4. If ~p, then ~q
8.
Which of the following represents the biconditional?
1. $p larr q$
2. $p harr q$
3. $p rarr q$
4. $p rarr ~q$
9.
Which of the following is logically equivalent to $p harr q ?$
1. $p rarr q or q rarr p$
2. $p rarr q if q rarr p$
3. $p rarr q and q rarr p$
4. $p rarr q " when " q rarr p$
10.
Which of the following represent the meaning of $p harr q ?$ Select all that apply.
1. if p then q
2. p iff q
3. p if and only if q
4. if p and then if q
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