Tuesday, October 30

Strict Inequality Examples

Introduction to strict inequality examples:

In mathematics, if an inequality has a symbol of < or > then it is termed as strict inequality in which the other symbols =, = are not used. For example, a < b is a strict inequality whereas a = b is not a strict inequality. We are going to see some more examples of strict inequality.

Example Problems to Strict Inequality Examples:

Example: 1

Find the strict inequality among the following.

a) 5 = m + 7

b) 9 = 8c

c) 8 < 9 + 2

d) 56 = 6m

Solution:

Strict inequality has the symbols of < or >.

Option a: 5 = m + 7

It has an equality symbol ‘=’. So, it is not strict inequality.

Option b: 9 = 8c

It has an inequality symbol = .  So, it is not strict inequality.

Option c: 8 < 9 + 2

It has a symbol < of strict inequality which is the answer.

Answer: c

Example: 2

Find the strict inequality among the following.

a) 7 + 8 = 12a

b) 10 = c

c) 7 = 7 a

d) 9 > 5

Solution:

Strict inequality has the symbols of < or >.

Option a: 7 + 8 = 12a

It has an equality symbol ‘=’. So, it is not strict inequality.

Option b: 10 = c

It has an inequality symbol = .  So, it is not strict inequality.

Option c: 7 = 7 a

It has an equality symbol ‘=’. So, it is not strict inequality.

Option d: 9 > 5

It has a symbol > of strict inequality which is the answer.

Answer: c

Algebra is widely used in day to day activities watch out for my forthcoming posts on Properties of Natural Logarithms and Unit Conversion Problems. I am sure they will be helpful.

Practice Problems to Strict Inequality Examples:

Problem: 1

Find the strict inequality among the following.

a) 14 = a

b) r =  45

c) 5 + 2 = 7

d) 3 < 4

Answer: d

Problem: 2

Find the strict inequality among the following.

a) 4 = 4

b) 6 <= 7 a

c) 10 > 5

d) 9 = 6 + 3

Answer: c

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