Represent solutions to inequalities on a number line
An equation is a statement of ‘equality’, you’re saying that whatever’s on one side of the = sign is exactly equal to what’s on the other side. e.g y = x + 1
When an unknown is involved, we can solve the equation to discover the value of the unknown e.g. x + 3 = 7 (x must be 4).
By comparison, an inequality says that whatever’s on one side is either bigger, or smaller, than what’s on the other side (depending on the sign).
e.g. x  3 >= 5
We can still solve inequality's in the same way as if there was just an equal sign, but the answer is different, x has more than one possible answer.
Let's solve it first.
To solve an inequality, imagine that the inequality is just an equal sign.
To get x on it's own, we need to add 3 to both sides:
x >= 5 + 3
x >= 2
So any value of x that is greater than or equal to 2, is valid as an answer.
We can represent this on a number line using a circle and arrow.
But if the inequality was
x + 3 > 5
then the circle at 2 would not be coloured in, to show that we do not include 2 in the set of possible values for x.
So if the circle is coloured in, it shows x can have the value of the number below the circle as well.
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