Legier Unit 2 review - linear inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤) instead of an equal sign.

Front

How do you write a linear inequality in standard form?

Back

A linear inequality in standard form is written as Ax + By <, >, ≤, or ≥ C, where A, B, and C are constants and x and y are variables.

Front

What does the symbol '>' represent in a linear inequality?

Back

The symbol '>' indicates that the expression on the left is greater than the expression on the right.

Front

What does the symbol '≥' represent in a linear inequality?

Back

The symbol '≥' indicates that the expression on the left is greater than or equal to the expression on the right.

Front

How do you determine if a point is a solution to a linear inequality?

Back

To determine if a point (x, y) is a solution, substitute the values of x and y into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the significance of the boundary line in a linear inequality graph?

Back

The boundary line represents the values where the inequality changes from true to false. If the inequality is strict (>, <), the line is dashed; if it is inclusive (≥, ≤), the line is solid.

Front

What is the solution set of a linear inequality?

Back

The solution set of a linear inequality is the set of all points (x, y) that satisfy the inequality, often represented as a shaded region on a graph.

Front

How can you graph a linear inequality?

Back

To graph a linear inequality, first graph the boundary line, then shade the region that satisfies the inequality based on whether it is greater than or less than.

Front

What is the difference between a strict and non-strict inequality?

Back

A strict inequality (>, <) does not include the boundary, while a non-strict inequality (≥, ≤) includes the boundary.

Front

What is the role of coefficients in a linear inequality?

Back

Coefficients determine the slope and intercept of the line represented by the inequality, affecting the steepness and position of the boundary line.