8A2 Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you graph the inequality y > x + 1?

Back

Graph the line y = x + 1 with a dashed line and shade the area above the line.

Front

How do you graph the inequality y ≤ -x + 1?

Back

Graph the line y = -x + 1 with a solid line and shade the area below the line.

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 does it mean if a point is part of the solution set of an inequality?

Back

It means that the point satisfies the inequality when substituted into it.

Front

How can you determine if a point is a solution to the inequality y < 2x + 3?

Back

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