Solving 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 'less than'.

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 or equal to'.

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

How do you graph the inequality x < -2?

Back

You graph the inequality by placing an open circle on -2 and shading to the left.

Front

When graphing the inequality x > 3, what type of circle is used?

Back

An open circle is used for the inequality x > 3.

Front

When solving the inequality 2x - 3 ≥ 4x - 1, what is the first step?

Back

The first step is to isolate the variable x by moving all terms involving x to one side.

Front

What is the solution to the inequality 3(x - 3) ≤ 2(x + 2)?

Back

The solution is x ≤ 13.

Front

How do you determine if a number is a solution to an inequality?

Back

Substitute the number into the inequality and check if the statement is true.