Question Video: Inequalities Represented by a Region on a Number Line

Which part of the shown line represents the set of solutions to the inequality 𝑥 < 27?

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Video Transcript

Which part of the shown line represents the set of solutions to the inequality 𝑥 is less than 27?

So, as in the question, we can see that we’ve got 𝑥 and then we’ve got an inequality sign. Then, we’ve got 27. And that inequality sign has the pointy end towards the 𝑥 and the wide end towards the 27. So, what this means is less than. So, we could say that 𝑥 is less than 27. So, therefore, what we’re looking for is the region to the left of 27. Because if we’ve got a number line, we know that anything to the left is down the number line. So, it’s gonna be less than the value that we’ve got.

So, therefore, we can see that our possible values of 𝑥 are gonna be represented by A. So, therefore, we can say the part of the shown line which represents the set of solutions to the inequality 𝑥 is less than 27 is part A. Because, in fact, part B would represent 𝑥 is greater than 27. And that’s because it’s to the right of the 27. So, therefore, it’s all the values that are more than or greater than 27.

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