Question

Simplify $\neg \neg q \lor F$ to q 1. Select a law from the right to apply $\neg \neg q \lor F$ Laws Distributive $(a \land b) \lor (a \land c) = a \land (b \lor c)$ $(a \lor b) \land (a \lor c) = a \lor (b \land c)$ Commutative $a \lor b = b \lor a$ $a \land b = b \land a$ Complement $a \lor \neg a = T$ $a \land \neg a = F$ Identity $a \land T = a$ $a \lor F = a$ Double negation $\neg \neg a = a$

          Simplify $\neg \neg q \lor F$ to q
1. Select a law from the right to apply
$\neg \neg q \lor F$
Laws
Distributive
$(a \land b) \lor (a \land c) = a \land (b \lor c)$
$(a \lor b) \land (a \lor c) = a \lor (b \land c)$
Commutative
$a \lor b = b \lor a$
$a \land b = b \land a$
Complement
$a \lor \neg a = T$
$a \land \neg a = F$
Identity
$a \land T = a$
$a \lor F = a$
Double negation
$\neg \neg a = a$

Simplify q F to q
1. Select a law from the right to apply
q F
Laws
Distributive
(a b) (a c) = a (b c)
(a b) (a c) = a (b c)
Commutative
a b = b a
a b = b a
Complement
a a = T
a a = F
Identity
a T = a
a F = a
Double negation
a = a

Added by Evelyn P.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Sri K

02/11/2023

Step 1

Step 1: Apply the double negation law to the expression -qVF. Show more…

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Simplify -qVF to q 1. Select a law from the right to apply -qVF Distributive Laws (аль) (алс) = ал(bvc) (avb)(avc) = av(bac) Commutative avb = bva аль вла Complement ava T алга Ξ F Identity алт Ξ a avF Ξ a Double negation a