<em>p</em> … <em>q</em> … ¬<em>q</em> … <em>p</em> ∨ ¬<em>q</em> … (<em>p</em> ∨ ¬<em>q</em>) ⇒ <em>q</em>
T … T … F … T … T
T … F … T … T … F
F … T … F … F … T
F … F … T … T … F
Start with the first two columns, taking every possible pair of True/False for <em>p</em> and <em>q</em>.
¬<em>q</em> is just the negation of <em>q</em>, so True becomes False and False becomes True.
<em>p</em> ∨ <em>q</em> is the logical disjunction, or logical "or". It's True if either <em>p</em> or <em>q</em> is True, and False otherwise. So <em>p</em> ∨ ¬<em>q</em> is True only if either <em>p</em> or ¬<em>q</em> is True.
<em>p</em> ⇒ <em>q</em> is the logical implication. It's True only when both <em>p</em> and <em>q</em> are True, or when <em>p</em> is False. So (<em>p</em> ∨ ¬<em>q</em>) ⇒ <em>q</em> is True when both <em>p</em> ∨ ¬<em>q</em> and <em>q</em> are True, or when <em>p</em> ∨ ¬<em>q</em> is False.
Answer:
A.81/4
Step-by-step explanation:
x^2-9x
This is in the form x^2 + bx
To complete the square, we take b/2 then square it and add it
b =-9
b/2 = -9/2
(b/2) ^2 = (-9/2) ^2 = 81/4
Answer:
2.5 or 2 1/2
Step-by-step explanation:
40÷16=2.5 or 2 1/2
The square root of 16 is a rational number. The square root of 16 is 4, an integer. This is because 16 is a perfect square.
Answer:
0.38888888888
Step-by-step explanation:
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