gaokao 2024 Q2

gaokao · China · national-II 5 marks Proof True/False Justification
Given proposition $p : \forall x \in \mathbf { R } , | x + 1 | > 1$; proposition $q : \exists x > 0 , x ^ { 3 } = x$, then
A. Both $p$ and $q$ are true propositions
B. Both $\neg p$ and $q$ are true propositions
C. Both $p$ and $\neg q$ are true propositions
D. Both $\neg p$ and $\neg q$ are true propositions
Given proposition $p : \forall x \in \mathbf { R } , | x + 1 | > 1$; proposition $q : \exists x > 0 , x ^ { 3 } = x$, then\\
A. Both $p$ and $q$ are true propositions\\
B. Both $\neg p$ and $q$ are true propositions\\
C. Both $p$ and $\neg q$ are true propositions\\
D. Both $\neg p$ and $\neg q$ are true propositions