Solving 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 operations such as addition, subtraction, multiplication, or division.

Front

How do you represent a situation where you want to spend at most a certain amount?

Back

You can represent this with an inequality, such as x ≤ amount, where x is the amount spent.

Front

What does the inequality 12x + 400 < 1200 represent?

Back

It represents that after making a $400 down payment, the total monthly payments (12x) must be less than $1200.

Front

What is the first step to solve the inequality -4x + 14 ≤ 54?

Back

The first step is to isolate the term with x by subtracting 14 from both sides.

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

x ≥ -10.

Front

How do you express 'no more than' in inequality form?

Back

'No more than' is expressed as ≤ (less than or equal to).

Front

What does the inequality s ≤ 18 mean in a real-world context?

Back

It means that the number of students (s) in the hall cannot exceed 18.

Front

What is the solution to the inequality -3 − 6(4x + 6) > -111?

Back

x < 3.

Front

How do you graph the inequality x < 3?

Back

You draw a number line, place an open circle at 3, and shade to the left.

Front

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

Back

It means 'greater than'.