Graphing Linear Inequality

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 ≥). It represents a region of the coordinate plane.

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation as a dashed line (for < or >) or a solid line (for ≤ or ≥). 2. Shade the region that satisfies the inequality.

Front

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

Back

The symbol '≤' means 'less than or equal to'. It indicates that the values of the variable can be less than or equal to a certain number.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the values of the variable can be greater than or equal to a certain number.

Front

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

Back

Front

How do you find the slope from a linear inequality?

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. It helps in graphing the inequality and understanding its position on the graph.

Front

What does it mean to shade above a line in a graph?

Back

Shading above a line indicates that the solutions to the inequality are all the points above the line, meaning the y-values are greater than the values on the line.

Front

What does it mean to shade below a line in a graph?

Back

Shading below a line indicates that the solutions to the inequality are all the points below the line, meaning the y-values are less than the values on the line.

Front

How do you determine which side to shade when graphing a linear inequality?

Back

To determine which side to shade, pick a test point (usually (0,0) if it's not on the line) and substitute it into the inequality. If the inequality holds true, shade that side.