[Video] Solving Linear Inequalities

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In this series of videos, we will explore how to find the solutions to algebraic inequalities.

The following videos talk about how to deal with solving inequalities:

Introduction to Algebraic Inequalities: What manipulations can be made and how they affect the solution

Question 1: Basic linear inequalities 1

(Click the arrow to the right to see the first question.)

(Click the arrow to the right to see the question posed at the end of the video.)

For what values of $x$ is it true that $-4x-7 <13$ ?
This inequality is satisfied when $x$ is... (fill in the blanks below)

greater than greater than or equal toless than less than or equal to $\answer [given]{-5}.$

(Click the arrow to the right to see an example.)

Example 1

Question 2: Basic linear inequalities 2

(Click the arrow to the right to see the definition of trigonometric functions and second question.)

(Click the arrow to the right to see the question posed at the end of the video.)

When is $-x+20\leq 8x+7$ ?
This inequality is satisfied when $x$ is... (fill in the blanks below)

greater than greater than or equal toless than less than or equal to $\answer [given]{-5}.$

(Click the arrow to the right to see an example.)

Example 2