Question

Given the conditional statement - "If x = 7, then 3x = 21" 3x = 21 is the

What is the converse of 'If 2x = 10, then x = 5' *
What is the inverse of 'If 2x = 10, then x = 5' *

Answer 1

The converse of 'If 2x = 10, then x = 5' is 'If x = 5, then 2x = 10'. The inverse is 'If 2x is not equal to 10, then x is not equal to 5'.

Step-by-step explanation:

The converse of a conditional statement swaps the antecedent and consequent. The original statement 'If 2x = 10, then x = 5' has the antecedent '2x = 10' and the consequent 'x = 5'. The converse would be 'If x = 5, then 2x = 10'. The inverse of a conditional statement negates both the antecedent and the consequent. The inverse of 'If 2x = 10, then x = 5' becomes 'If 2x is not equal to 10, then x is not equal to 5'.

Understanding conditionals is essential for constructing logical arguments and solving problems accurately. This concept is crucial for students as conditionals play a significant role in mathematics and logic.