Graphing 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 such as <, >, ≤, or ≥.

Front

What does the symbol < mean in an inequality?

Back

The symbol < means 'less than'. It indicates that the value on the left side of the inequality is smaller than the value on the right side.

Front

What does the symbol > mean in an inequality?

Back

The symbol > means 'greater than'. It indicates that the value on the left side of the inequality is larger than the value on the right side.

Front

What does the symbol ≤ mean in an inequality?

Back

The symbol ≤ means 'less than or equal to'. It indicates that the value on the left side is either smaller than or equal to the value on the right side.

Front

What does the symbol ≥ mean in an inequality?

Back

The symbol ≥ means 'greater than or equal to'. It indicates that the value on the left side is either larger than or equal to the value on the right side.

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 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

What is the slope of a line?

Back

Front

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

Back

Substitute the x and y coordinates of the point into the inequality. If the inequality holds true, then the point is a solution.

Front

What does it mean if a point lies in the shaded region of a graph of a linear inequality?

Back

If a point lies in the shaded region, it means that the point satisfies the inequality and is a solution to the inequality.