12/3 SOTW 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 maintaining the direction of the inequality.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality sign.

Front

Solve the inequality: 3x - 5 < 4.

Back

x < 3.

Front

What is the solution to the inequality: 2(x + 3) ≥ 14?

Back

x ≥ 4.

Front

How do you check the solution of an inequality?

Back

To check the solution of an inequality, substitute the solution back into the original inequality to see if it holds true.

Front

What does it mean if an inequality has no solution?

Back

An inequality has no solution if there are no values that can satisfy the inequality, often resulting in a contradiction.

Front

Solve the inequality: 5 - 2x > 3.

Back

x < 1.

Front

What is the first step in solving the inequality: -3(2x - 4) ≤ 12?

Back

Distribute -3 to both terms inside the parentheses: -6x + 12 ≤ 12.

Front

What is the solution to the inequality: 7k + 2 < 3k + 10?

Back

k < 2.