Inequalities and dividing by a variable
Variable – is a symbol for a number we don’t know yet. `x` is the variable in the term `4x`.
If your equation is
You cannot divide by `y` to get `x` on its own because:
How can you divide if you don't know what `y` is?
Is it +ve value or -ve value?
Depending on whether `y` is +ve or -ve will determine whether the inequality is flipped or not.
1. If `y=-2` then:
Divide both sides by -24 and flip the inequality
2. If `y=+2` then:
Divide both sides by 24 but DON’T flip the inequality
The two answers give:
You can’t say which it is.