Algebra 1 Section 3.6 Flashcardizz

Front

What is the condition for a system of inequalities to have NO SOLUTION?

Back

When the inequalities contradict each other, such as x < 1 and x > 5.

Front

What must you do to an inequality when multiplying or dividing by a negative number?

Back

You must flip the inequality sign.

Front

How would you express the inequality represented by the graph that includes 1 and goes up to but not including 6?

Back

1 ≤ x < 6.

Front

What does the solution 'B' represent in the context of solving and graphing inequalities?

Back

It represents a specific solution set or region on a number line, which should be defined in the context of the problem.

Front

How can you write an inequality for a graph that shows values less than or equal to -2 or greater than 5?

Back

x ≤ -2 OR x > 5.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (e.g., <, >) do not include the boundary points, while non-strict inequalities (e.g., ≤, ≥) do include the boundary points.

Front

What does the graph of an inequality represent?

Back

The graph of an inequality represents all the possible solutions that satisfy the inequality.

Front

What is the significance of the boundary point in an inequality?

Back

The boundary point determines whether it is included in the solution set (non-strict) or excluded (strict).

Front

How do you solve a linear inequality?

Back

You isolate the variable on one side of the inequality, similar to solving an equation, while applying the rules for inequalities.