Question

{x:x^2=9 and x=5} is it a empthy set

Answer 1

Answer:

Yes, X is the empty set.

The set you give is the set of numbers that are both (3 or -3) AND 2. Obviously, no number can be both of these, so X is the empty set.When you 'AND' two propositions, the result is true if and only if both propositions are true.

Step-by-step explanation:

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Answer 2

$\bf\large\red{\underline{ given : }}$

• x ⎜ x² = 9
• x = 5

$\bf\large\red{\underline{ to \: find : }}$

• Whether { x ⎜ x²=9 and x = 5} set is empty or not.

$\bf\large\red{\underline{ solution : }}$

• x ⎜x² = 9 , So, x = (-3,3)
• x = 5

Obviously , no number can be both of these.

∴ The given set is empty.