Question

consider the following relation.
s = {(-6, 8), (10, -7), (6, -6), (8, 3)}
step 1 of 2: find the inverse. express your answer as a set of ordered pairs.
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s⁻¹ = {(( ),( )),(( ),( )),(( ),( )),(( ),( ))}

Explanation:

Step1: Swap coordinates in each pair

For each ordered pair \((x,y)\) in \(S\), create \((y,x)\):

• For \((-6,8)\): swap to \((8,-6)\)
• For \((10,-7)\): swap to \((-7,10)\)
• For \((6,-6)\): swap to \((-6,6)\)
• For \((8,3)\): swap to \((3,8)\)

Step2: Compile inverse set

Combine the new ordered pairs into a set.

Answer:

\(S^{-1} = \{(8,-6), (-7,10), (-6,6), (3,8)\}\)