Maths · Functions
Find the quantifier which best describes the variable of the open sentence
Find the quantifier which best describes the variable of the open sentence \( x^{2}+2 \geq 0 \)
- A. Universal.
- B. Existential.
- C. Neither (a) nor (b)
- D. Does not exist.
Step-by-step solution
The inequality x^2 + 2 ≥ 0 holds for all real numbers x because x^2 ≥ 0, so x^2 + 2 ≥ 2 > 0. Therefore, the universal quantifier 'for all x' makes the statement true.
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