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.