Math  /  Algebra

QuestionJnits 9.2 \& 9.3 Question 1, 9.2.1 HW Score Points
Find the inverse of the relation. {(9,8),(6,7),(8,4),(5,5)}\{(-9,-8),(6,7),(8,-4),(5,-5)\}
The inverse is {\{ \square (Type ordered pairs, separated by commas.)

Studdy Solution

STEP 1

What is this asking? We're simply flipping the xx and yy values in each pair of coordinates! Watch out! Don't mix up which coordinate to flip first. xx becomes yy and yy becomes xx!

STEP 2

1. Flip the coordinates

STEP 3

Our first coordinate pair is (9,8)(-9, -8).
To find the inverse, we **swap** the xx and yy values.
So, (9,8)(-9, -8) becomes (8,9)(-8, -9)!

STEP 4

The second pair is (6,7)(6, 7). **Flipping** the xx and yy gives us (7,6)(7, 6).
See how easy this is?

STEP 5

Next up is (8,4)(8, -4). **Switching** the coordinates gives us (4,8)(-4, 8).
Almost there!

STEP 6

Lastly, we have (5,5)(5, -5). **Swapping** the xx and yy gives us (5,5)(-5, 5).
Fantastic!

STEP 7

The inverse of the relation is (8,9),(7,6),(4,8),(5,5)(-8, -9), (7, 6), (-4, 8), (-5, 5).

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