What is the inequality for "r is more than or equal to 2"?

The inequality for "r is more than or equal to 2" is \( r \geq 2 \).

In mathematics, inequalities are used to show the relationship between two values when they are not equal. The symbol \( \geq \) stands for "greater than or equal to." When we say "r is more than or equal to 2," we mean that the value of \( r \) can be 2 or any number greater than 2. This is written as \( r \geq 2 \).

To break it down, the inequality \( r \geq 2 \) includes all numbers that are either equal to 2 or larger than 2. For example, 2, 3, 4, 5, and so on, are all values that satisfy this inequality. Even numbers like 2.1, 3.5, and 1000 are included because they are greater than 2.

When graphing this inequality on a number line, you would draw a solid dot at 2 to show that 2 is included in the solution set. Then, you would shade the line to the right of 2 to indicate all the numbers greater than 2. This visual representation helps to clearly see all the possible values that \( r \) can take.

Understanding inequalities is crucial in solving many mathematical problems, as they allow us to express a range of possible solutions rather than a single value. This concept is widely used in various fields, including science, engineering, and economics, making it an essential part of your GCSE Maths studies.