Question

How do you solve \[12-2x < 30\]?

Answer 1

Hint: From the above question given, we have been asked to solve \[12-2x < 30\].We can solve the above given expression by making some simple transformations. Some perfect transformations should be made to the given mathematical expression to get it solved.

Complete step-by-step solution:
From the question, we have been given that \[12-2x < 30\]
As we have already discussed above, we have to make some transformations to get the above given expression solved.
Now as of the process shift \[12\] from the left hand side of the given expression to the right hand side of the given expression.
By shifting \[12\] from left hand side of the given expression to the right hand side of the given expression, we get \[-2x < 30-12\]
On furthermore simplifying the above expression, we get \[-2x < 18\]
Now, to further simplification shift \[-2\] from the left hand side of the given expression to the right hand side of the given expression.
By shifting \[-2\] from left hand side of the expression to the right hand side of the given expression, we get \[x < -\dfrac{18}{2}\]
On furthermore simplification, we get \[x < -9\]
Hence, the given expression is solved.
Now, as we have already discussed above, by using simple transformations, we got the given expression solved.

Note: We should be well aware of the linear expressions. Also, we should be well aware of the simplification of linear expressions. Exact transformations must be done to the given expression to get it solved. We should have an idea of which transformation is to be used to the given expression to get it solved. Similarly we can answer \[40-x < 20\Rightarrow 40 < 20+x\Rightarrow 20 < x\] .