Front

What is a linear inequality?

Back

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 an inequality?

Back

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

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is strictly less than the value on the right.

Front

Back

The solution is the set of points that satisfy both inequalities, which can be found by graphing them and identifying the overlapping shaded region.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

To determine if a point is a solution, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What is the significance of the shaded region in a graph of inequalities?

Back

The shaded region represents all the possible solutions to the inequality. Any point within this region satisfies the inequality.

Front

What does the solution (6, -2) represent in the context of a system of inequalities?

Back

The solution (6, -2) represents a specific point that satisfies all inequalities in the system.

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What is the difference between 'AND' and 'OR' in compound inequalities?

Back

'AND' means both conditions must be true simultaneously, while 'OR' means at least one of the conditions must be true.

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How do you write an inequality for a given graph?

Back

To write an inequality for a graph, identify the boundary line and determine whether the region is above or below the line, then express it in inequality form.