Understanding Inequalities and Interval Notation

The video tutorial explains how to solve an inequality, graph the solution, and express it using interval notation. It covers the steps to solve inequalities, including handling negative multipliers, and demonstrates graphing solutions on a number line. The tutorial also explains interval notation, using parentheses and brackets to indicate whether endpoints are included, and provides tips for using these notations in homework systems.

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

• Add the same number to both sides

• Reverse the inequality symbol

• Multiply both sides by zero

• Subtract the same number from both sides

What is the first step in solving the inequality 7x < 21?

• Subtract 7 from both sides

• Add 7 to both sides

• Add 2x to both sides

• Divide both sides by 7

After solving 7x < 21, what is the value of x?

• x < 3

• x > 3

• x = 3

• x ≥ 3

How is the solution x < 3 represented on a number line?

• A closed point at 3 with a line to the right

• An open point at 3 with a line to the left

• A closed point at 3 with a line to the left

• An open point at 3 with a line to the right

What symbol is used in interval notation to indicate that an endpoint is not included?

• Square bracket

• Angle bracket

• Parenthesis

• Curly brace

In interval notation, how is the interval for x < 3 expressed?

• (-∞, 3]

• (-∞, 3)

• [3, ∞)

• (3, ∞)

What is always used in interval notation for positive and negative infinity?

• Parentheses

• Angle brackets

• Curly braces

• Square brackets

What tool can be used to find the infinity symbol in a homework system?

• Equation tool

• Graph tool

• Dot tool

• Line segment tool

What should you do to ensure the computer system correctly interprets your interval notation entry?

• Use a calculator

• Re-enter the data

• Use the preview button

• Check with a teacher

What is the correct way to enter infinity using the keyboard?

• Type two lowercase 'i's

• Type two lowercase 'o's

• Type two uppercase 'I's

• Type two uppercase 'O's