Using Inequality Symbols

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically represented with an equal sign (=).

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions that are not necessarily equal, using symbols like <, >, ≤, or ≥.

Front

What does the symbol < mean?

Back

The symbol < means 'less than' and is used to compare two values where the value on the left is smaller than the value on the right.

Front

What does the symbol > mean?

Back

The symbol > means 'greater than' and is used to compare two values where the value on the left is larger than the value on the right.

Front

What does the symbol ≤ mean?

Back

The symbol ≤ means 'less than or equal to' and indicates that the value on the left is either smaller than or equal to the value on the right.

Front

What does the symbol ≥ mean?

Back

The symbol ≥ means 'greater than or equal to' and indicates that the value on the left is either larger than or equal to the value on the right.

Front

How do you solve the inequality x + 3 > 5?

Back

To solve x + 3 > 5, subtract 3 from both sides: x > 2.

Front

How do you represent the solution of the inequality x < 4 on a number line?

Back

To represent x < 4 on a number line, draw an open circle at 4 and shade to the left.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is not necessarily equal to another.

Front

What is a solution to an inequality?

Back

A solution to an inequality is any value that makes the inequality true when substituted into the expression.