Solving & Graphing Multi-Step Inequalities

Front

What happens to the inequality symbol when you multiply or divide by a negative number?

Back

You flip the inequality symbol.

Front

How do you represent the inequality for a taxi ride that costs $1.75 flat rate plus $0.65 per mile, with a maximum budget of $10?

Back

1.75 + 0.65m < 10

Front

If the student council wants to raise at least $1,000 from ticket sales of $3 for students and $5 for adults, how many adults must attend if 200 students attend?

Back

At least 80 adults.

Front

Back

All real numbers.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤).

Front

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

Back

It means 'greater than or equal to'.

Front

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

Back

It means 'less than'.

Front

How do you graph the inequality -2 ≥ n?

Back

You shade to the left of -2, including -2.

Front

What is the first step in solving a multi-step inequality?

Back

Isolate the variable on one side of the inequality.

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.