An Introduction to Inequalities

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Even the most difficult mathematical concepts can be broken down in a way that beginners can understand them. Get an introduction to inequalities with help from a mathematics educator in this free video clip.

Part of the Video Series: Mathematics Lessons
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Video Transcript

Hi. I'm Jimmy Chang and we're here to talk about an introduction to inequalities. Now, whenever you talk about inequalities you're talking about using these following symbols. Less than and greater than. Now, sometimes, if equality is ok, you might see less than or equal to, greater than or equal to. So, you often see these symbols used in equations or simply comparisons between the two. So for example, you might see something like x greater than or equal to three. So you're talking about numbers for x that are equal to three or larger than three. You might see inequalities used as part of equations. So for example you might have x minus three less than four. To solve for that you would add three to both sides. So your final inequality would be x less than seven. So that means the solution for this inequality would be numbers for x that are strictly less than seven. Things like six point nine nine, two, zero, things like that. The only thing you gotta think about for inequalities is if you have, let's just say you know three is greater than two, if you multiply both sides of an inequality or divide both sides of an inequality by a negative number you have to the change the sign. So for example, if you multiply both sides by negative one you have negative three and you have negative two, but you can't say negative three is greater than negative two because that makes no sense. You do have to switch the sign. So, that's really the one fundamental rule you have to think about when it comes to solving inequalities. So, I'm Jimmy Chang and that's a brief introduction to inequalities.


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