Which inequality is represented on this
So, first of all, what we can see on our
number line is we’ve got an arrow pointing to right. So, this means that we’re gonna be
involving greater than. That’s because anything to the right of a
value on a number line is greater than that value. Then, next, what we do is we remind
ourselves of our number-line notation. And with our number-line notation, if we
have an open circle and a line to the right, it’s greater than. But if we have a closed or colored-in
circle and a line to the right or an arrow to the right, then it is greater than or equal
to. And we can see in our diagram that it is
colored in. So, therefore, it’s gonna be greater than
or equal to.
So, what this means is, if we’ve got the
colored-in dot, like we do in ours, then it’s gonna be greater than or equal to. So, it means it can take the value, so in
this case, the value of the negative one cause if it was an open circle, it wouldn’t take
this value as well. So, therefore, in word form, we can say
that 𝑥 is greater than or equal to negative one.
However, we want to represent it using
inequality notation. So, how would we do this? So, using our inequality notation, we
have 𝑥 is greater than or equal to negative one. And we know it’s greater than because
we’ve got the open side by the 𝑥 and the pointy side by the negative one. So, it’s 𝑥 is greater than negative
one. And we know that it’s or equal to because
this line underneath our inequality sign. So, we’ve got 𝑥 is greater than or equal
to negative one.