## Inequalities Checking - College Algebra

• 0:00 - 0:04
&gt;&gt; Here are our answers. You've learned that inequalities have ranges of values
• 0:04 - 0:09
that are solutions to them. So that means that if a number falls in this range,
• 0:09 - 0:13
we can use it in the inequality to make a true statement. Some of these may be a
• 0:13 - 0:17
bit confusing though. For example, 3 is less than or equal to 7. On a number
• 0:17 - 0:22
line, if we're curious about all of the numbers that are less than or equal to
• 0:22 - 0:26
7, we would shade in all the numbers to the left of 7 on the number line. And
• 0:26 - 0:31
then draw a square bracket to include 7 in that range. We can see that 3
• 0:31 - 0:36
definitely falls in this region. It is not equal to 7, but it is less than 7.
• 0:36 - 0:41
And it only needs to fit one of the criteria implied by this symbol. It either
• 0:41 - 0:45
needs to be less than 7, or it needs to be equal to 7. Similarly, the statement
• 0:45 - 0:50
8 is greater than or equal to 1 plus 7 is also true. When simplified, this of
• 0:50 - 0:54
course gives us the inequality 8 is greater than or equal to 8. And you might at
• 0:54 - 0:59
first think, oh my gosh, 8 is not greater than 8. However it only needs to be
• 0:59 - 1:03
greater than or equal to 8. It's equal to 8 so that's enough to satisfy this
• 1:03 - 1:07
inequality. We can see the difference here then, between this symbol, the
• 1:07 - 1:12
greater than or equal to, which implies inclusion of 8, versus the just greater
• 1:12 - 1:17
than sign. This statement is true. Whereas this statement is not, because 8 is
• 1:17 - 1:22
greater than 1 plus 7, only allows for the greater than criterion, not the equal
• 1:22 - 1:25
to one. 1 plus 7 no longer fits the bill.
Title:
Inequalities Checking - College Algebra
Video Language:
English
Team:
Udacity
Project:
MA008 - College Algebra
Duration:
01:26
 Udacity Robot edited English subtitles for Inequalities Checking - College Algebra Cogi-Admin added a translation

# English subtitles

## Revisions Compare revisions

• API
Udacity Robot