Exercise · ZW-PREDICATE-007 · ★★☆ Intermediate
P(x): x²=4 is a predicate because...
Choose one option.
Show answer
- D. Its truth depends on x
Explanation
\(x^2=4\) is true for \(x=2\) and false for \(x=3\), so its truth depends on \(x\).
Review the concept: Predicate
A predicate \(P(x)\) is an expression with free variables that becomes a proposition when values are assigned to them.
\[P(x,y)\in\{\top,\bot\}\]
More practice problems: predicate
- ZW-PREDICATE-001 The truth value of a predicate depends on...
- ZW-PREDICATE-002 When all its variables are fixed, a predicate becomes...
- ZW-PREDICATE-003 Which one is a predicate of two variables?
- ZW-PREDICATE-004 In predicate logic, the variables at the start...
- ZW-PREDICATE-005 Which example depends on the value of x?
- ZW-PREDICATE-006 A predicate becomes a proposition when...
- ZW-PREDICATE-008 Which one is an instance of the predicate P(x): x>0?
- ZW-PREDICATE-009 Which of these expressions is an open predicate?