Inequalities unit review honors

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality 1 - 4x ≤ 21?

Back

Isolate x: -4x ≤ 20, then x ≥ -5.

Front

What is the solution set for the inequality 5x ≥ 25?

Back

x ≥ 5.

Front

What is an absolute value inequality?

Back

An absolute value inequality is an inequality that contains an absolute value expression, such as |x| < a.

Front

How do you solve an absolute value inequality of the form |x| < a?

Back

You create an 'And' compound inequality: -a < x < a.

Front

What is the difference between 'And' and 'Or' compound inequalities?

Back

'And' compound inequalities require both conditions to be true, while 'Or' compound inequalities require at least one condition to be true.

Front

What does an open circle represent on a number line?

Back

An open circle represents that the number is not included in the solution set (e.g., x < 3).

Front

What does a closed circle represent on a number line?

Back

A closed circle represents that the number is included in the solution set (e.g., x ≤ 3).