[5] U5D8 Mix Practice (3)

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a boundary line. Then, shade the region that satisfies the inequality. Use a dashed line for < or > and a solid line for ≤ or ≥.

Front

What does the symbol '≤' mean in a linear inequality?

Back

The symbol '≤' means 'less than or equal to', indicating that the values of the variable can be less than or equal to the value on the other side of the inequality.

Front

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

Back

The symbol '>' means 'greater than', indicating that the values of the variable must be strictly greater than the value on the other side of the inequality.

Front

What is the solution set of a system of linear inequalities?

Back

The solution set of a system of linear inequalities is the region on the graph where the shaded areas of all inequalities overlap.

Front

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

Back

To determine if a point is a solution to a linear inequality, substitute the coordinates of the point into the inequality. If the inequality holds true, the point is a solution.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution set (≤ or ≥), while a dashed line indicates that points on the line are not included ( < or >).

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you convert a linear inequality to slope-intercept form?

Back

Front

What is the significance of the y-intercept in a linear inequality?

Back

The y-intercept is the point where the line crosses the y-axis, and it helps to determine the starting point of the graph when plotting the inequality.