2.4 - Solving 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 such as addition, subtraction, multiplication, or division.

Front

What does it mean when an inequality has 'all real numbers' as a solution?

Back

It means that any real number can satisfy the inequality, indicating that the inequality is true for every value of the variable.

Front

What does it mean when an inequality has 'no solution'?

Back

It means that there are no values for the variable that can satisfy the inequality, indicating a contradiction.

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Back

All real numbers.

Front

Back

All real numbers.

Front

Solve the inequality: -3(9 + x) ≥ -21

Back

Front

Solve the inequality: 4(2a + 3) < 3(a - 1)

Back

Front

Solve the inequality: 3(y + 1) ≥ -6

Back

Front

Back

Add 5 to both sides to isolate the term with x.

Front

What is the principle of reversing the inequality sign?

Back

When multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.