TEXES Math Test Preparation - MathHelp.com - 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 four | |
01:28 | , so we have X is greater than negative four | |
01:34 | . Our next task is to Graph X is greater | |
01:37 | than -4 on a number line . And to do | |
01:41 | that , we start with an open dot at negative | |
01:47 | four . The reason we use an open dot at | |
01:51 | negative four is that X is greater than -4 , | |
01:55 | but 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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