Inequalities Review

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?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent?

Back

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

Front

What does the symbol '≤' represent?

Back

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

Front

How do you graph the inequality y > 2x - 5?

Back

Graph the line y = 2x - 5 as a dashed line and shade above the line.

Front

How do you graph the inequality y ≥ -3?

Back

Graph the line y = -3 as a solid line and shade above the line.

Front

What is the solution set for the inequality x < -5?

Back

The solution set includes all numbers less than -5.

Front

How do you write the inequality x > -5 in words?

Back

x is greater than -5.

Front

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

Back

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