Commerce (English Medium) इयत्ता ११ - CBSE Question Bank Solutions

Write the following sets in the roaster form.
C = {x : x² + 7x – 8 = 0, x ∈ R}

State which of the following statement are true and which are false. Justify your answer.

37 ∉ {x | x has exactly two positive factors}

State which of the following statement are true and which are false. Justify your answer.

28 ∈ {y | the sum of the all positive factors of y is 2y}

State which of the following statement are true and which are false. Justify your answer.

7,747 ∈ {t | t is a multiple of 37}

Given that E = {2, 4, 6, 8, 10}. If n represents any member of E, then, write the following sets containing all numbers represented by n + 1

Given that E = {2, 4, 6, 8, 10}. If n represents any member of E, then, write the following sets containing all numbers represented by n² 

Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:
n + 5 = 8

Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:
n is greater than 4

Write the following sets in the roaster from:
A = {x : x ∈ R, 2x + 11 = 15}

Write the following sets in the roaster from:
B = {x | x² = x, x ∈ R}

Write the following sets in the roaster from:
C = {x | x is a positive factor of a prime number p}

Write the following sets in the roaster form:
D = {t | t³ = t, t ∈ R}

Write the following sets in the roaster form:
E = `{w | (w - 2)/(w + 3) = 3, w ∈ R}`

Write the following sets in the roaster form:

F = {x | x⁴ – 5x² + 6 = 0, x ∈ R}

If Y = {x | x is a positive factor of the number 2^{p – 1} (2^p – 1), where 2^p – 1 is a prime number}.Write Y in the roaster form.

State which of the following statement is true and which is false. Justify your answer.

35 ∈ {x | x has exactly four positive factors}.

128 ∈ {y | the sum of all the positive factors of y is 2y}

State which of the following statement is true and which is false. Justify your answer.

3 ∉ {x | x⁴ – 5x³ + 2x² – 112x + 6 = 0}

State which of the following statements is true and which is false. Justify your answer.

496 ∉ {y | the sum of all the positive factors of y is 2y}.

Determine whether the following statement is true or false. Justify your answer.

For all sets A, B, and C, A – (B – C) = (A – B) – C