Linear Inequalities P2: Maths
We advise you to go through Linear Inequalities Part 1 before doing Part 2. You can find part 2 using the link below:
Linear inequalities are mathematical statements that compare two expressions using the symbols <, >, ≤, or ≥. These expressions typically contain one or more variables, and the inequality symbol indicates the relationship between the two expressions.
| Name | Symbol | Example |
|---|---|---|
| Less than | < | x + 93 < √5 |
| Greater than | > | x + 93 > √5 |
| Not equal | ≠ | x ≠ y |
| Less than or equal to | ≤ | x ≤ 93 |
| Greater than or equal to | ≥ | y ≥ 99 |
In GCSE mathematics, linear inequalities are an important topic in algebra. They represent relationships between different variables and real-world situations and can be solved using various methods.
A linear inequality in one variable is an inequality that can be written in the form ax + b < c or ax + b > c, where a, b, and c are constants and x is the variable. For example, the inequality 2x + 1 < 5 is a linear inequality in one variable. To solve this inequality, we can isolate the variable on one side of the inequality by subtracting 1 from both sides: