Linear and Systems of Inequalities Review

Front

What happens to the inequality symbol when you multiply or divide by a negative number?

Back

You flip the inequality symbol.

Front

Back

The graph is a line with a slope of -1, passing through the point (0, -4), and shaded below the line.

Front

Identify the system of inequalities represented by the graph:

Back

y > -x - 1 and y ≥ x + 4.

Front

Is the point (-2, 4) a solution to the system of inequalities y > -x - 1 and y ≥ x + 4?

Back

Yes, it is a solution.

Front

Which linear inequality represents the graph where x is greater than or equal to -2?

Back

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does the symbol '≥' mean in inequalities?

Back

It means 'greater than or equal to'.

Front

Back

Draw a horizontal dashed line at y = 2 and shade below the line.

Front

Back

All real numbers less than 3.

Front

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

Back

A solid line indicates 'greater than or equal to' or 'less than or equal to', while a dashed line indicates 'greater than' or 'less than'.