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Linear Inequalities Quiz

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Questions and Answers

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?

$ax + by < c$ 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?

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

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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Description

Test your understanding of linear inequalities with this quiz. Explore concepts such as inequality symbols, linear functions, and solving linear inequalities. Sharpen your skills in working with greater than, less than, less than or equal to, greater than or equal to, and not equal to symbols.