January 2005 - Question 1
We're going to treat this inequality as a basic algebraic equation. This is where the exam board tries to trick you
to thinking something is harder than it actually is! The < sign can just be treated as an = sign.
First, we're going to expand the brackets on the left side.
2x - 6 < 6x + 15
Now we're going to get all like terms on one side, so we're going to put all the x's on the right and the numbers on the left.
-6 - 15 < 6x - 2x
As you can see, you just need to add or take the terms from each other for the next step.
-21 < 4x
It would be easier for us to put the x on the left side, so we're going to swap the two terms over. (Remember, we need
to change the sign round too).
4x > -21
Now we just need to find what x is.
x > -21/4
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