Podcast
Questions and Answers
What symbols of inequality are involved in a linear inequality?
What symbols of inequality are involved in a linear inequality?
- $\leq$ less than or equal to, $\geq$ greater than or equal to, $<$ less than, $>$ greater than
- $\leq$ less than or equal to, $\geq$ greater than or equal to, $=$ equal to, $\neq$ not equal to
- $<$ less than, $>$ greater than, $\leq$ less than or equal to, $\geq$ greater than or equal to, $\neq$ not equal to (correct)
- $<$ less than, $>$ greater than, $=$ equal to, $\neq$ not equal to
What does a two-dimensional linear inequality expression in two variables look like?
What does a two-dimensional linear inequality expression in two variables look like?
- $ax + by < c$ and $ax + by \geq c$ (correct)
- $ax - by < c$ and $ax + by \leq c$
- $ax + by = c$ and $ax - by > c$
- $ax + by > c$ and $ax - by \leq c$
How does a linear inequality differ from a linear equation?
How does a linear inequality differ from a linear equation?
- A linear inequality has two variables, while a linear equation has only one variable
- A linear inequality has an inequality sign, while a linear equation has an equality sign (correct)
- A linear inequality has a squared term, while a linear equation does not
- A linear inequality has a constant term, while a linear equation does not
Flashcards
Symbols of Inequality
Symbols of Inequality
Symbols that show the relationship between values: <, >, ≤, ≥, ≠.
Two-Dimensional Linear Inequality
Two-Dimensional Linear Inequality
It can be expressed as ax + by < c or ax + by ≥ c, involving two variables.
Linear Inequality vs. Linear Equation
Linear Inequality vs. Linear Equation
A linear inequality uses inequality signs; a linear equation uses equality signs.
Study Notes
Linear Inequality Symbols
- ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than) are the symbols of inequality involved in a linear inequality
Two-Dimensional Linear Inequality Expression
- A two-dimensional linear inequality expression in two variables looks like: Ax + By ≤ C, Ax + By ≥ C, Ax + By < C, or Ax + By > C, where A, B, and C are constants, and x and y are variables
Linear Inequality vs. Linear Equation
- A linear inequality differs from a linear equation in that it uses inequality symbols (≤, ≥, <, or >) instead of an equal sign (=)
- A linear inequality expresses a range of possible solutions, whereas a linear equation has a unique solution or a set of unique solutions
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