Q3 of 145 Page 4

Write the following sets in roster from:

J = {x : ϵ R and x2 + x – 12 = 0}.


The given equation is:

x2 + x – 12 = 0


⇒ x2 + 4x – 3x – 12 = 0


⇒ x(x + 4) – 3(x + 4) = 0


⇒ (x – 3)(x + 4) = 0


⇒ x – 3 = 0 or x + 4 = 0


⇒ x = 3 or x = -4


therefore, the solution set of the given equation can be written in roaster form as {3, -4}


So, J = {3, -4}


More from this chapter

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3

Write the following sets in roster from:

G = {x : x is a prime number and 80 < x < 100}.


 3

Write the following sets in roster from:

H = {x : x is a perfect square and x < 50}.


 3

Write the following sets iroster from:

K = {x : ϵ N, x is a multiple of 5 and x2 < 400}.


 4

List all the elements of each of the sets given below.

A = {x : x = 2n, n ϵ N and n ≤ 5}.