Video: Properties of Inequalities

Complete using β©½, <, >, or β©Ύ: If 𝑏 β©½ βˆ’5, then 𝑏 + 1 οΌΏ βˆ’ 4.

01:03

Video Transcript

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

So first of all, in this question, what we’re told is that 𝑏 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 we’re told that 𝑏 plus one blank negative four. Well, if we took a look at our original inequality, 𝑏 is less than or equal to negative five, then we can see that what in fact has happened is we’ve added one to the left-hand side. And therefore, we have to add one to the right-hand side because 𝑏 plus one would give us our 𝑏 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 we’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 𝑏 plus one is gonna be less than or equal to negative four.

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