Writing and Graphing Multi-Step Inequalities

Front

What is a multi-step inequality?

Back

A multi-step inequality is an inequality that requires more than one step to solve, often involving addition, subtraction, multiplication, or division.

Front

How do you represent the inequality k < 3 on a number line?

Back

Draw a number line, place an open circle at 3, and shade to the left to indicate all numbers less than 3.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean in inequalities?

Back

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

Front

What does the symbol '≤' mean in inequalities?

Back

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

Front

How would you write the inequality for 'My sister plans to sell more than 250 boxes of cookies'?

Back

c > 250

Front

How would you write the inequality for 'X is less than or equal to 24'?

Back

x ≤ 24

Front

How would you write the inequality for 'There are no more than 18 students in the hall'?

Back

s ≤ 18

Front

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

Back

The first step is to isolate the variable on one side of the inequality.