Solving Multistep 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, or not equal to the other.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality 6 > x?

Back

To solve 6 > x, you can rewrite it as x < 6.

Front

What is the solution to the inequality 7(x + 3) < 5x + 13?

Back

The solution is x < -4.

Front

How do you graph the inequality x ≥ -5 on a number line?

Back

You draw a closed circle on -5 and shade to the right.

Front

What is the first step in solving the inequality -3 - 6(4x + 6) > -111?

Back

Distribute -6 to both terms inside the parentheses.

Front

What is the solution to the inequality x ≤ 2?

Back

The solution means x can be any number less than or equal to 2.