A binary operation \oplus is defined on the set of real numbers \mathbb{R} by a \oplus b =… — JAMB UTME

A binary operation $\oplus$ is defined on the set of real numbers $\mathbb{R}$ by $a \oplus b = 2a + 3b - 5$ . What is the value of $(4 \oplus 1) \oplus 2$ ?

Answer: 13

Answer

The value of

(4 \oplus 1) \oplus 2

is 13.

First, evaluate the inner expression

4 \oplus 1

using

a = 4

and

b = 1

, which gives

2(4) + 3(1) - 5 = 8 + 3 - 5 = 6

. Then, substitute this result into the outer expression to evaluate

6 \oplus 2

using

a = 6

and

b = 2

, yielding

2(6) + 3(2) - 5 = 12 + 6 - 5 = 13

Step-by-Step Solution

Evaluate the inner operation

4 \oplus 1

Substitute

a = 4

and

b = 1

into the operational rule

a \oplus b = 2a + 3b - 5

Evaluate the outer operation using the result from Step 1:

6 \oplus 2

Substitute

a = 6

and

b = 2

into the operational rule

a \oplus b = 2a + 3b - 5

Key Concept

Evaluation of Binary Operations

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