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geniusboy [140]
2 years ago
11

Solve for u. -2u+2=-7u+17

Mathematics
1 answer:
Alex_Xolod [135]2 years ago
5 0

Subtract 2 from both sides

-2u = -7u + 17 - 2

Simplify -7u + 17 - 2 to -7u + 15

-2u = -7u + 15

Add 7u to both sides

-2u + 7u = 15

Simplify -2u + 7u to 5u

5u = 15

Divide both sides by 5

u = 15/5

Simplify 15/5 to 3

u = 3

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(p ∧ q)’ ≡ p’ ∨ q’

Step-by-step explanation:

First, p and q have just four (4) possibilities, p∧q is true (t) when p and q are both t.

p ∧    q

t t t

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next step is getting the opposite

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    <em>f</em>

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<em>     t</em>

<em>     t</em>

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p' V  q'

f  <em>f</em>  f

f  <em>t</em>  t

t  <em>t</em>  f

t  <em>t</em>  t

Let's compare them, ≡ is true if the first is equal to the second one.

(p∧q)'   ≡     (p' V q')

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<em>     t              t</em>

<em>     t              t</em>

<em>     t              t</em>

Both are true, so

(p ∧ q)’ ≡ p’ ∨ q’

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