Question

If A = {3,4,6,8), then which of the following statements is
false?
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Answer 1

Answer:

If A={3,4,6,8} ,then which of the following statement is false?.

Answer 2

Q) If A = { 3, 4, 6, 8}, which of the following statement is false?

a)   Э × ∈ A, such that x + 4 = 7.

b)   ∀ × ∈ A, x+ 4 < 10.

c) ∀ × ∈ A, x+5 ≥ 13.

d) Э×∈ A, such that x is odd.

e) Э× ∈ A, such that  (x-3) ∈N.

Options (b) and (c) are false.

Given,

A = {3, 4, 6, 8}

To Find,

The false statement.

Solution,

a) here, the condition given is x+4 = 7.

And the value x= 3 satisfies the condition.

So the given statement is true.

b) Here, the condition given is x+4 < 10.

But the set has a maximum value of 8.

So this statement is false.

c) x+ 5 ≥ 13, is the condition.

But in the set, only 8 satisfy this.

So, the statement is false.

d) Since x =3, it satisfies the condition x is odd.

the statement is true.

e) The condition is (x-3) ∈ N

Here, x = 4, 6, 8 satisfies the condition so the statement given is true.

Hence, the false statements are an option(b) and (c).

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