Algebra 1 Section 3.6 Flashcardizz

Front

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

Back

You must flip the inequality.

Front

What is the solution set for the inequality x > -3 and x < 1?

Back

The solution set is x > -3 and x < 1.

Front

What is the solution for the compound inequality −6 < 2t − 5 < 3?

Back

The solution is −1/2 < t < 4.

Front

How would you write an inequality for a graph that shows x ≤ -2 or x > 5?

Back

The inequality is x ≤ -2 OR x > 5.

Front

What conditions would result in the solution set of all real numbers?

Back

The conditions are x > 1 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 use < or >, while non-strict inequalities use ≤ or ≥.

Front

How do you graph the inequality x < 3?

Back

You draw a number line, place an open circle at 3, and shade to the left.

Front

What does the solution x ≥ 4 represent on a number line?

Back

It represents all numbers greater than or equal to 4, including 4 itself.

Front

What is the significance of the 'or' in compound inequalities?

Back

The 'or' indicates that at least one of the conditions must be true for the solution to be valid.