Linear inequalities are invaluable in mathematics, allowing us to represent relationships between variables and solve real-world problems. Using graphs, linear inequalities can be used to solve mathematical and practical problems.
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:
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