Question

Let P(x) denote the statement "x less than or equal to 4." What are the truth
values?

a) P(O) b) P(4) c) P(6)

Answer 1

so I would put that there are some values of x that satisfy P(x) due to the fact that P(0) makes 0 < or = to 4
P(4) just makes everything equal
P(6) is well x is greater than or equal to 4 so that's not right
so backwards E x P(x)

Answer 2

ouch no wait there's a less than or equal to sign so P(4) will work.
for P(0) and P(4) backwards E [x]P(x) which stands for some values of x in P(x)
P(6) is false

Answer 3

Let P(x) be the statement "the word x contains the letter
a." What are the truth values?
a) P(orange) b) P(lemon)
c) P(true) d) P(false)

Answer 4

obviously A and D have the letter a. so again it's for some values of x in P(x) because A is true, B is false, C is false, and D is true.
Therefore, backwardsE[x]P(x)