Graphing Linear Inequality

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 (>, <, ≥, ≤). It represents a region of the coordinate plane.

Front

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

Back

The symbol '>' indicates that the values on the left side of the inequality are greater than the values on the right side.

Front

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

Back

The symbol '≥' indicates that the values on the left side of the inequality are greater than or equal to the values on the right side.

Front

How do you graph a linear inequality?

Back

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

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

Front

How do you determine which side of the line to shade when graphing an inequality?

Back

Choose a test point not on the line (commonly (0,0)). Substitute it into the inequality. If the inequality holds true, shade the side containing the test point.

Front

Back

No, because when substituting (1, 2) into the inequality, it does not satisfy the condition.

Front

Back

The ordered pair (-4, 4) is NOT a solution because it does not satisfy the inequality.

Front

Back

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, represented graphically as a shaded region.