Q3 of 27 Page 74

Let * be a binary operation on the set of all nonzero real numbers, defined by Find the value of x given that
2 * (x * 5) = 10.

To find: value of x


Given: a*b =


⇒ x*5 = = x


Now (2*x) =


⇒ = 10
⇒ x = 25


More from this chapter

All 27 →
1

Let * be a binary operation on the set I of all integers, defined by a * b = 3a + 4b - 2. Find the value of 4 * 5.

 2

The binary operation * on R is defined by a * b = 2a + b. Find (2 * 3) * 4.

 4

Let *: R × R → R be a binary operation given by a * b = a + 4b2. Then, compute
( - 5) * (2 * 0).

 5

Let be a binary operation on the set Q of all rational numbers given as a * b = (2a - b)2 for all a, b ∈ Q. Find 3 * 5 and 5 * 3. Is 3 * 5 = 5 * 3?