Multistep Inequalities

Front

What is a multistep inequality?

Back

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

Front

How do you isolate a variable in an inequality?

Back

To isolate a variable in an inequality, perform inverse operations on both sides of the inequality, similar to solving an equation, while remembering to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What does it mean when an inequality has a 'greater than' symbol?

Back

A 'greater than' symbol (>) indicates that the value on the left side of the inequality is larger than the value on the right side.

Front

What does it mean when an inequality has a 'less than' symbol?

Back

A 'less than' symbol (<) indicates that the value on the left side of the inequality is smaller than the value on the right side.

Front

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

Back

x < 3

Front

Solve the inequality: 3(y + 5) ≥ 21.

Back

y ≥ 2

Front

What is the solution to the inequality 4(5x + 2) ≤ 28?

Back

x ≤ 1

Front

What does it mean to have a solution of x > 2.4?

Back

It means that any value of x that is greater than 2.4 satisfies the inequality.

Front

How do you check if a value is a solution to an inequality?

Back

To check if a value is a solution, substitute it into the inequality and see if the statement is true.

Front

What is the solution to the inequality -4x + 9 - x < -3?

Back

x > 2.4