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

Flashcards

Symbols of Inequality

Symbols that show the relationship between values: <, >, ≤, ≥, ≠.

Two-Dimensional Linear Inequality

It can be expressed as ax + by < c or ax + by ≥ c, involving two variables.

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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