1. Use the laws of logic to show that ∀x(P(x) ∧ Q(x)) implies that ∀x Q(x) ∧ ∀x P(x).
2. Which of the following arguments are valid? Explain.
A. I have a student in my class who is getting an A. Therefore, John,
a student in my class is getting an A.
B. Every girl scouts who sells at least 50 boxes of cookies will get
a prize. Suzy, a girl scout, got a prize. Therefore Suzy sold 50 boxes
of cookies.

answer:

step-by-step explanation:

y = 0.77(x)

step-by-step explanation:

the jacket retains this value after 23% cut or retains 77% of original value. plug original 87 jacket price for x and the remaining value should be y.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1