Writing Equations and Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

How do you solve the inequality 2.5v + 5 < 5v?

Back

Subtract 2.5v from both sides to get 5 < 2.5v, then divide by 2.5 to find v > 2.

Front

What is the first step in solving the inequality 50x < 330 + 30x?

Back

The first step is to subtract 30x from both sides to simplify the inequality to 20x < 330.

Front

What does it mean if a solution to an inequality is 'v < 3'?

Back

It means that any value of v that is less than 3 will satisfy the inequality.

Front

How can you check if a value satisfies the inequality 7.5v < 5v?

Back

Substitute the value into the inequality and see if the statement holds true.

Front

What is the solution to the inequality 30x > 330 + 50x?

Back

Subtract 50x from both sides to get -20x > 330, then divide by -20, reversing the inequality to get x < -16.5.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

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 greater or less than another.