Question Video: Properties of Inequalities | Nagwa Question Video: Properties of Inequalities | Nagwa

Question Video: Properties of Inequalities Mathematics • 6th Grade

Complete using โฉฝ, <, >, or โฉพ: If ๐‘ โฉฝ โˆ’5, then ๐‘ + 1 ๏ผฟ โˆ’ 4.

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Video Transcript

Complete using inequality signs. If ๐‘ is less than or equal to negative five, then ๐‘ plus one blank negative four.

So first of all, in this question, what weโ€™re told is that ๐‘ is less than or equal to negative five. But then what we want to do is use this to help us fill in the blank. And weโ€™re told that ๐‘ plus one blank negative four. Well, if we took a look at our original inequality, ๐‘ is less than or equal to negative five, then we can see that what in fact has happened is weโ€™ve added one to the left-hand side. And therefore, we have to add one to the right-hand side because ๐‘ plus one would give us our ๐‘ plus one and negative five plus one would give us our negative four.

So therefore, our inequality sign must stay the same because in fact what weโ€™re gonna have is the left-hand side and the right-hand side are gonna have the same relation with each other. So therefore, we can say that ๐‘ plus one is gonna be less than or equal to negative four.

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