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 (addition, subtraction, multiplication, division) on both sides of the inequality, just like in equations.

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 inequality sign.

Front

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

Back

x ≥ -10.

Front

Solve the inequality: a > -24. What is the solution set?

Back

The solution set is all real numbers greater than -24.

Front

Solve the inequality: 10 < 3x + 19. What is x?

Back

x > -3.

Front

Solve the inequality: -9a - 1 < 26. What is a?

Back

a > -3.

Front

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

Back

k ≤ 7.

Front

What is the solution to the inequality x + 5 < 12?

Back

x < 7.

Front

What does it mean if an inequality has no solution?

Back

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