Question

find the inverse of the following relation. express your answer as a set of ordered pairs. separate multiple pairs with commas. s = {(9,4),(-8,-4),(5,6),(-3,-1)} s⁻¹ = { }

Explanation:

Step1: Swap coordinates in each pair

For each ordered pair $(a,b)$ in $S$, form $(b,a)$.

• $(9,4) \to (4,9)$
• $(-8,-4) \to (-4,-8)$
• $(5,6) \to (6,5)$
• $(-3,-1) \to (-1,-3)$

Step2: Compile inverse set

Collect the new ordered pairs into a set.

Answer:

$\{(4, 9), (-4, -8), (6, 5), (-1, -3)\}$