Inequalities Word Problems

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 equal to the other.

Front

What does it mean to solve an inequality?

Back

Solving an inequality involves finding all values of the variable that make the inequality true.

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 than or less than another.

Front

How do you represent a word problem as an inequality?

Back

Identify the quantities involved, determine the relationship between them, and express it using inequality symbols.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you graph an inequality on a number line?

Back

Use an open circle for '>' or '<' and a closed circle for '≥' or '≤'. Shade the region that satisfies the inequality.

Front

What is a boundary line in the context of inequalities?

Back

A boundary line is the line that represents the equality part of the inequality, dividing the graph into two regions.

Front

How do you solve a multi-step inequality?

Back

Isolate the variable by performing inverse operations, similar to solving an equation, while remembering to reverse the inequality sign if you multiply or divide by a negative number.

Front

What is a compound inequality?

Back

A compound inequality consists of two or more inequalities joined by 'and' or 'or'.