Question
Question: How do you write 2 is greater than or equal to c?...
How do you write 2 is greater than or equal to c?
Solution
The given problem is solved using the inequalities in mathematics. The inequality specified in the given question is ‘greater than or equal to’. We need to replace the inequality with its symbol to get the required expression.
Complete step by step solution:
Inequality symbols in mathematics are used to compare different quantities. There are four inequality symbols in mathematics.
1. greater than
2. lesser than
3. greater than or equal to
4. lesser than or equal to
Greater than or less than symbols are used to compare numbers and expressions.
The phrase ‘greater than’ in mathematics is given by the symbol > . It shows that one quantity is greater than the other quantity.
The phrase ‘lesser than’ in mathematics is given by the symbol < . It shows that one quantity is lesser than the other quantity.
In some cases,
The value may also be equal to a certain expression.
To represent the same,
We add an extra line below the ‘greater than’ and ‘lesser than’ symbol.
The phrase ‘greater than or equal to’ in mathematics is given by the symbol ≥. It shows that one quantity is greater than or equal to the other quantity.
The phrase ‘lesser than or equal to’ in mathematics is given by the symbol ≤. It shows that one quantity is lesser than or equal to the other quantity.
According to the question,
The number 2 is greater than or equal to c
The inequality used in the above sentence is ‘greater than or equal to’ that is denoted by ≥.
We need to replace the phrase ‘greater than or equal to’ with its symbol to get the required result.
Applying the same, we get,
⇒2≥c
∴ The phrase ‘2 is greater than or equal to c’ is written as 2≥c
Note: It is very important to change the phrases in English to expressions in maths with the meaning being precisely equivalent. The conversion of phrases to expressions must be done sequentially to avoid confusion.