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 ≥.

Front

How do you graph a linear inequality?

Back

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

Front

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

Back

The symbol '>' means that the values of the variable are greater than the value on the other side of the inequality.

Front

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

Back

The symbol '<' means that the values of the variable are less than the value on the other side of the inequality.

Front

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

Back

The symbol '≥' means that the values of the variable are greater 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 that the values of the variable are less than or equal to the value on the other side of the inequality.

Front

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

Back

Front

How do you determine 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, and it helps in graphing the inequality.

Front

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

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