Classwork 1.5B: Write and Solve Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, ≥) to show that one expression is not equal to the other.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. It indicates that the value on the left side of the symbol is smaller than the value on the right side.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left side of the symbol is larger than the value on the right side.

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

How do you write an inequality for a situation where a person has a maximum amount to spend?

Back

You write an inequality where the total cost is less than or equal to the maximum amount. For example, if the maximum is $10, the inequality would be: total cost ≤ 10.

Front

How do you represent a situation where a person wants to achieve a minimum amount?

Back

You write an inequality where the total amount is greater than or equal to the minimum desired. For example, if the minimum is $200, the inequality would be: total amount ≥ 200.

Front

What is the first step in solving an inequality?

Back

The first step in solving an inequality is to isolate the variable on one side of the inequality sign, similar to solving an equation.

Front

What is the difference between solving an equation and solving an inequality?

Back

When solving an inequality, if you multiply or divide by a negative number, you must reverse the inequality sign. This is not necessary when solving equations.

Front

How do you interpret the solution of an inequality?

Back

The solution of an inequality represents a range of values that satisfy the condition. For example, if x > 5, any value greater than 5 is a solution.