Solve 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 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 is written as x ≥ -10?

Back

It means that x can be any number greater than or equal to -10.

Front

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

Back

x ≥ -10.

Front

What is the first step to solve the inequality 6(n + 2) < -72?

Back

Distribute 6 to both terms inside the parentheses: 6n + 12 < -72.

Front

What does n < -14 indicate about the value of n?

Back

It indicates that n can be any number less than -14.

Front

Solve the inequality: 4x + 3 < -1. What is x?

Back

x < -1.

Front

What is the solution to the inequality 7(x + 3) < 5x + 13?

Back

x < -4.

Front

What does the inequality k ≥ -7 mean?

Back

It means that k can be any number greater than or equal to -7.

Front

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

Back

k ≤ 7.