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 combining like terms, distributing, and isolating the variable.

Front

When do you flip the inequality symbol?

Back

You flip the inequality symbol when you multiply or divide both sides of the inequality by a negative number.

Front

Solve the inequality: -4x + 14 ≤ 54. What is x?

Back

x ≥ -10

Front

Solve the inequality: 6x + 2 + 6x < 14. What is x?

Back

x < 1

Front

Solve the inequality: 28 − k ≥ 7(k − 4). What is k?

Back

k ≤ 7

Front

What does it mean to isolate a variable in an inequality?

Back

Isolating a variable means to manipulate the inequality so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

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

Back

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

Front

What is the difference between ≤ and < in inequalities?

Back

≤ means 'less than or equal to', while < means 'less than' only.

Front

What is the graphical representation of an inequality?

Back

The graphical representation of an inequality is shown on a number line, with an open circle for < or > and a closed circle for ≤ or ≥.