Writing 2-Step Inequalities

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

Front

How do you represent a situation with an inequality?

Back

You identify the quantities involved, determine the relationship (greater than, less than, etc.), 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 solve a 2-step inequality?

Back

1. Use addition or subtraction to isolate the term with the variable. 2. Use multiplication or division to solve for the variable.

Front

What is the first step in solving the inequality 3x + 5 < 20?

Back

Subtract 5 from both sides to isolate the term with the variable: 3x < 15.

Front

If you have the inequality 2x - 4 ≥ 10, what is the first operation you perform?

Back

Add 4 to both sides to isolate the term with the variable: 2x ≥ 14.

Front

What is the solution to the inequality 71 - 3.5x < 50?

Back

x > 6.

Front

How can you express the total cost of items in an inequality?

Back

By adding the cost of each item and setting it less than or equal to the budget.

Front

What does it mean if an inequality has no solution?

Back

It means that there is no value for the variable that can satisfy the inequality.