Maths Problems - MathHelp.com - 1000+ Online Maths Lessons - Free Educational videos for Students in K-12 | Lumos Learning

Maths Problems - MathHelp.com - 1000+ Online Maths Lessons - Free Educational videos for Students in k-12


Maths Problems - MathHelp.com - 1000+ Online Maths Lessons - By MathHelp.com



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00:0-1 The following is a selected video from your teacher.com where
00:03 you can browse over 450 complete math lessons with example
00:07 videos , interactive practice problems , self tests and more
00:11 . Try a complete lesson today at your teacher dot
00:14 com . When you're asked to solve an inequality Like
00:20 -3 X is less than 12 . Your goal should
00:24 be the same as it was when solving equations to
00:28 get X by itself on one side In this problem
00:33 , since X is being multiplied by -3 . On
00:37 the left side of the inequality to get X by
00:40 itself , we divide both sides by negative three .
00:49 But here's the rule you have to watch out for
00:51 when solving inequalities . When you divide both sides of
00:56 an inequality by a negative number , you must switch
01:00 the direction of the inequality sign . So this less
01:05 than in our original problem becomes greater than in our
01:12 second step on the left side , the negative threes
01:17 cancel and we're left with X . And on the
01:22 right side , 12 divided by -3 is negative for
01:28 so we have X is greater than negative four .
01:34 Our next task is to Graph X is greater than
01:37 -4 on a number line . And to do that
01:42 , we start with an open dot at negative four
01:49 . The reason we use an open dot at negative
01:51 four is that X is greater than -4 , but
01:55 it is not equal to negative for next . We
02:00 draw an arrow going to the right on our number
02:04 line To represent all numbers greater than -4 . Finally
02:13 , we put our answer in what is called set
02:16 notation , which is written in the following way .
02:21 The set of all X is such that X is
02:27 greater than negative four . And this is our final
02:34 answer . All this means is that if we take
02:39 any number greater than negative four and plug it back
02:43 in for X . In our original problem , we'll
02:47 get a true statement . Try one .
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