Answer:
See below
Step-by-step explanation:
Let P(x) be a predicate over the variable x. Rules from logic tell us that the negation of ∀xP(x) is ∃x(¬P(x)). That is, the negation operator ¬ satisfies ¬(∀xP(x))≡∃x(¬P(x)). Similarly, ¬(∃xP(x))≡∀x(¬P(x)).
Apply these rules to each statement to obtain:
a) ∃ a fish x, x does not have gills.
b) ∃ a computer c, c does not have a CPU.
c) ∀ movie m, m is not over 6 hours long. ⇔ ∀ movie m, m is under 6 hours long.
d) ∀ band b, b has not won at least 10 Grammy awards. ⇔ ∀ band b, b has won less than 9 Grammy awards.
Answer:
y < 8
Step-by-step explanation:
First, distribute that -3 over (3y + 4), obtaining -9y - 12 < -12y + 12.
Next, add 12y to both sides, obtaining 3y - 12 < 12, or 3y < 24
Then y < 8 must be true.
Answer:
<h2>
</h2>
Step-by-step explanation:
To find f(-9) , substitute the value of x that's -9 into f(x). That is for every x in f (x) replace it with - 9
We have
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
Answer:
As described in picture:
RPS = 5x + 34
QPR = 8x + 15
RPS +QPR = QPS = 88
=>5x + 34 + 8x + 15 = 88
=> 13x + 49 = 88
=> 13x = 39
=> x = 3
=> RPS = 5 x 3 + 34 = 15 + 34 = 49 deg
Hope this helps!
:)
Answer:
6w - 29
Step-by-step explanation:
