- #1

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Let P(x) be the assertion “x is odd”, and let Q(x) be the assertion “x is twice an integer.” Determine whether the following statements are true:

1. (Vx ∈ Z)(P(x) ⇒ Q(x))

2. (Vx ∈ Z)(P(x)) ⇒ (Vx ∈ Z)(Q(x))

**My attempt:**

I don't get the statement at all; if x is odd then 2x ? maybe if x is odd then 2x is even ?

Is that what they're trying to say ?

and for me the quantifiers look the same.

(Vx ∈ Z) a-> b is same as (Vx ∈ Z) a -> (Vx ∈ Z)b

I don't understand the question at all.