Differentiating Linear Inequalities and Linear Equations in Two

Front

What is a linear equation in two variables?

Back

A linear equation in two variables is written in the standard form of Ax + By + C = 0, where A, B, and C are real numbers and the coefficients of x and y are not equal to zero.

Front

What is a linear inequality in two variables?

Back

A linear inequality in two variables is formed when symbols other than equal to, such as greater than or less than, are used to relate two expressions.

Front

What is the standard form of a linear equation?

Back

Ax + By = C

Front

What is the standard form of a linear inequality?

Back

Ax + By < C, Ax + By > C, Ax + By ≤ C, Ax + By ≥ C, Ax + By ≠ C

Front

What symbols are used in linear inequalities?

Back

The symbols used are < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), and ≠ (not equal to).

Front

What is the graphical representation of a linear equation?

Back

The graph of a linear equation is a straight line.

Front

What is the graphical representation of a linear inequality?

Back

The graph of a linear inequality is a region of points bounded by a line.

Front

What happens to the direction of the inequality symbol when multiplied or divided by a negative integer?

Back

The direction of the inequality symbol is reversed.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation uses the symbol '=' indicating equality, while a linear inequality uses symbols like <, >, ≤, or ≥ to show a relationship that is not equal.

Front

What is the expected outcome after completing the module?

Back

You are expected to distinguish linear inequalities from linear equations, translate mathematical phrases into statements, and cite real-life situations represented by these equations.