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प्रश्न
List the elements of the following sets:
{x : 4 – 2x > -6, x ∈ Z}
उत्तर
{x : 4 – 2x > -6, x ∈ Z}
4 - 2x >-6
-4 + 4 -2x > -6 -4
(Subtracting 4 from both sides)
-2x > -10
-2x + 2x + 10 > -10 + 2x + 10
[Adding 2x + 10 to both sides]
+10 > 2x
`(10)/(2)` > x
5 > x
∴ Elements of the given set { x : 4 - 2x > - 6, x ∈ Z} are 4, 3, 2, 1, 0, -1.......
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संबंधित प्रश्न
Write the following sets in set-builder (Rule Method) form :
B2 = {11, 13, 7, 19}
Write the following sets in set-builder (Rule Method) form :
B5 = {-5, -4, -3, -2, -1}
Write the following sets in Roster form:
The set of letters in the word ‘UNIVERSAL’.
Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14, 18, 20}.
18 ∈ C
Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14, 18, 20}.
6 ∉ A
Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14, 18, 20}
10 ∈ B
Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14, 18, 20}
0 ∈ B
Represent the following set in Roster form
D = {x : x ∈ Z, −5 < x ≤ 2}
Represent the following set in set builder form
E = The set of odd Whole numbers less than 9.
Represent the following set in descriptive form
S = {x : x is a consonant in English alphabets}
