One Step 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

How do you solve the inequality -8x < 48?

Back

To solve -8x < 48, divide both sides by -8, remembering to reverse the inequality sign: x > -6.

Front

What is the solution to the inequality 15 > -5 + z?

Back

To solve 15 > -5 + z, add 5 to both sides: 20 > z, or z < 20.

Front

What does the solution x ≤ 6 represent?

Back

The solution x ≤ 6 means that x can be any number less than or equal to 6.

Front

How do you represent the solution of an inequality on a number line?

Back

To represent the solution of an inequality on a number line, use an open circle for 'less than' or 'greater than' and a closed circle for 'less than or equal to' or 'greater than or equal to'.

Front

What does the inequality 2.75 < d mean?

Back

The inequality 2.75 < d means that d is any number greater than 2.75.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary value, while non-strict inequalities (≤, ≥) do include the boundary value.

Front

How do you graph the inequality x > -3?

Back

To graph x > -3, draw a number line, place an open circle at -3, and shade to the right to indicate all numbers greater than -3.