3.3.1 Flashcardizz: Two-Step Inequalities: Basic

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. It typically involves addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality 7n - 1 > 76?

Back

1. Add 1 to both sides: 7n > 77. 2. Divide by 7: n > 11.

Front

What does the symbol '≤' mean in inequalities?

Back

'≤' means 'less than or equal to', indicating that the value can be either less than or exactly equal to another value.

Front

How do you graph the inequality n > 11?

Back

Draw a number line, place an open circle at 11, and shade to the right to indicate all numbers greater than 11.

Front

What is the first step to solve the inequality -169 ≤ 8m - 9?

Back

Add 9 to both sides: -160 ≤ 8m.

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Front

What is the importance of reversing the inequality sign when multiplying or dividing by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, the direction of the inequality sign must be reversed to maintain the truth of the statement.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves representing the solutions of the inequality on a number line or coordinate plane, showing which values satisfy the inequality.

Front

What is the solution set for the inequality n > 11?

Back

The solution set includes all real numbers greater than 11.