Solving One-Step Linear Inequalities in One Variable

This video tutorial covers solving one-step linear inequalities in one variable. It explains how to express solutions as inequalities, graphs, and using interval notation. The tutorial provides examples of different inequalities and demonstrates how to solve them, emphasizing the importance of reversing the inequality symbol when multiplying or dividing by a negative number.

What is the primary goal of the lesson?

• To solve quadratic equations

• To solve one-step linear inequalities

• To understand complex numbers

• To learn about polynomial functions

Which of the following is NOT a way to express the solution of an inequality?

• Using interval notation

• As a polynomial

• As an inequality

• As a graph

For the inequality x < 2, what type of point is used on the number line?

• Square bracket

• Curly bracket

• Closed point

• Open point

In interval notation, how is the interval for x < 2 represented?

• (-∞, 2]

• (-∞, 2)

• (2, ∞)

• [2, ∞)

What symbol is used in interval notation to indicate that a value is included in the interval?

• Square bracket

• Curly bracket

• Parenthesis

• Angle bracket

For the inequality x ≥ -4, what type of point is used on the number line?

• Open point

• Curly bracket

• Closed point

• Square bracket

What must you do to the inequality symbol when you multiply or divide both sides of an inequality by a negative number?

• Change it to an equal sign

• Reverse it

• Remove it

• Keep it the same

What is the result of dividing both sides of the inequality -2 < 4 by -2?

• 1 < -2

• -1 > 2

• -1 < 2

• 1 > -2

Why do we reverse the inequality symbol when multiplying or dividing by a negative number?

• Because it makes the inequality easier to solve

• Because negative numbers are always less than positive numbers

• Because it is a rule in algebra

• Because it changes the direction of the inequality

Which of the following is true about negative numbers compared to positive numbers?

• Negative numbers are equal to positive numbers

• Negative numbers have no relation to positive numbers

• Negative numbers are always greater than positive numbers

• Negative numbers are always less than positive numbers