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blsea [12.9K]
3 years ago
7

(I am confused someone please help )

Mathematics
1 answer:
lakkis [162]3 years ago
3 0

Answer:

2x±44

Step-by-step explanation:

-2[x-7]=-2x±14 because negative ×negative=positive

±5[3x±6]=15x±30

-3[5x±10]=-15x±30

2x±14±15x-15x±30

2x±15x-15x=2x

14±30=44

2x±44=2x±44

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Answer:

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Answer:  The given logical equivalence is proved below.

Step-by-step explanation:  We are given to use truth tables to show the following logical equivalence :

P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P)

We know that

two compound propositions are said to be logically equivalent if they have same corresponding truth values in the truth table.

The truth table is as follows :

P     Q      ∼P     ∼Q     P⇔ Q    ∼P ∨ Q     ∼Q ∨ P        (∼P ∨ Q)∧(∼Q ∨ P)

T     T         F        F             T            T                   T                       T

T     F         F        T             F             F                   T                       F

F     T         T        F             F            T                   F                       F

F     F         T        T             T            T                   T                       T

Since the corresponding truth vales for P ⇔ Q and (∼P ∨ Q)∧(∼Q ∨ P) are same, so the given propositions are logically equivalent.

Thus, P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P).

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How does it want the answer to be? Like a fraction? If so, the answer would be 8/6 since rise over run. 8 up and 6 to the left.
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