Algebra 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, or not equal to the other.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

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.

Front

How do you graph a solution to an inequality?

Back

You use a number line to represent the solutions, with open circles for non-inclusive boundaries and closed circles for inclusive boundaries.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals, such as (a, b) or [a, b].

Front

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' represent?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' represent?

Back

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

Front

What does the symbol '≥' represent?

Back

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

Front

How do you solve the inequality 3x + 2 < -7?

Back

Subtract 2 from both sides to get 3x < -9, then divide by 3 to find x < -3.