Find the inverse relation R-1 in R is a relation from {11, 12, 13} to (8, 10, 12} defined by y = x – 3

Asked by Aaryan | 1 year ago |  77

##### Solution :-

Given,

R is a relation from {11, 12, 13} to (8, 10, 12} defined by y = x – 3

Here,

x = {11, 12, 13} and y = (8, 10, 12}

y = x – 3

When, x = 11, y = 11 – 3 = 8 ∈ (8, 10, 12}

When, x = 12, y = 12 – 3 = 9 ∉ (8, 10, 12}

When, x = 13, y = 13 – 3 = 10 ∈ (8, 10, 12}

∴ R = {(11, 8), (13, 10)}

R‑1 = {(8, 11), (10, 13)}

Answered by Sakshi | 1 year ago

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