Question

question 3 of 10, step 1 of 1 consider the following relation. find the inverse. express your answer as a set of ordered pairs. t = {(-1,3), (-6,-4), (-10,1), (4,-9)} answer how to enter your answer (opens in new window) t⁻¹ = {(( )),(( )),(( )),(( )),(( ))} keypad keyboard shortcuts

Explanation:

Step1: Swap coordinates in each pair

For each ordered pair $(x,y)$ in $T$, create $(y,x)$.

• $(-1,3) \to (3,-1)$
• $(-6,-4) \to (-4,-6)$
• $(-10,1) \to (1,-10)$
• $(4,-9) \to (-9,4)$

Step2: Compile inverse set

Collect the new ordered pairs into a set.

Answer:

$T^{-1} = \{(3,-1),(-4,-6),(1,-10),(-9,4)\}$