Which part of the shown line represents a set of solutions to the inequality 𝑥 is greater than five?
Our inequality is 𝑥 is greater than five, which means that 𝑥 can be anything that’s bigger than five. For example, we know that six is greater than five. And we know that six falls to the right of five on a number line. If we move to the left of five on the number line, we will move down to four.
And as we are interested in only the values greater than five, we’re interested in the values to the right of five on the number line. That’s the section in pink here, which is labeled with a B. Section B represents the inequality 𝑥 is greater than five.