Linear Inequation

Question 1

Inequation

Answer 1

Statement including variable(s) and the sign of inequality.

Question 2

Closed interval :

Answer 2

If a and b are 2 real numbers such that a < b,
The closed interval is the set of all the real numbers x such that
a <= x <= b

Question 3

Open interval

Answer 3

If a and b are 2 real numbers such that a < b,

The set of all real numbers x such that a < x < b is called an open interval.

Question 4

Closed interval is denoted by

Answer 4

[a, b] or

Question 5

Open interval is denoted by

Answer 5

(a,b)

Question 6

Semi closed or Semi open interval

Answer 6

Let a and b are 2 real numbers such that a < b.

Then the sets
(a,b] : a < x <= b
[a,b) : a <= x < b
are called semi open or semi closed sets.

Question 7

The sign in an inequality reverses when multiplied or divided by a

Answer 7

Negative number.

Question 8

Let A and B be 2 sets, then A ∪ B denotes

Answer 8

Union of sets A and B.

It is the set of all elements either in A or in B or in both A and B.

Question 9

Let A and B be 2 sets, then A ∩ B denotes

Answer 9

Intersection of sets A and B.

It is the set of all elements common to both A and B.

Question 10

Empty set

Answer 10

A set with no elements is called empty set.

Question 11

Empty set denoted by

Answer 11

φ or { }

Question 12

Eg of empty set

Answer 12

Set of all natural numbers less than 1
Set of all monkeys with 2 tails
Etc.

Question 13

Distance between 2 real numbers x and y is defined as :

Answer 13

|x-y|

Question 14

When a > b , 1/a ….. 1/b

Answer 14

1/a < 1/b