Inequalities vs. Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equals sign (e.g., 2x + 3 = 7).

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, indicating that one is greater than, less than, or not equal to the other (e.g., x > 5).

Front

What symbol is used to represent an equation?

Back

The equals sign (=) is used to represent an equation.

Front

What symbols are used to represent inequalities?

Back

Inequalities use symbols such as > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to).

Front

How many solutions does an inequality typically have?

Back

An inequality can have multiple solutions, often represented as a range of values.

Front

How many solutions does an equation typically have?

Back

An equation typically has one solution, but it can also have no solutions or infinitely many solutions depending on the context.

Front

What is the difference between 'x > 0' and 'x = 0'?

Back

'x > 0' is an inequality indicating x is greater than 0, while 'x = 0' is an equation stating x is equal to 0.

Front

What does the inequality '12x - 7 < 44' represent?

Back

It represents all values of x that make the expression 12x - 7 less than 44.

Front

What is the solution to the equation '8 = 2x'?

Back

The solution is x = 4.

Front

What does the equation '2^x = 18' mean?

Back

It means that 2 raised to the power of x equals 18, and you can solve for x.