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Pad 7:49 PM 73% khanacademy org Dashboard I Khan... Khan Academy Pra... SAT Dashboard... what is artificial se. www.plantingscien... Donald Trump say how to hold a pen... Solving linear equations and linear inequalities KHANACADEMY lf9 4z 1, which inequality represents the possible range of values of 12z 3? A 12z 3 17 BO 122 3 S 17 C 12 3 27 D 122 3 S 27 Let\'s examine the structures of the inequality 9 2 42e 1 and the expression 12z 3. lf we look closely, we see that 12z 3 3(4a 1) c Watch a video Show explanation Re Do 5 questions V L3 Check answe

Solution

12x + 3

There are two terms, 12x and 3....

Now, they have a common factor, 3, right?

So, we factorize 3 out in common from 12x + 3

When u remove 3 from 12x, we are left with 12x/3 or 4x. Similarly, when we remove 3 from 3, we are left with 3/3, i.e 1

So, we get :

3(4x + 1)

This is how Mr. Sal Khan came up with that :)

Now, how do we proceed?

First we take the given inequality....

9 >= 4x + 1

We had 12x + 3, which we have now obtained is nothing but 3(4x + 1)

So, take 9 >= 4x + 1 and multiply both sides by 3 :

3*9 >= 3(4x + 1)

27 >= 12x + 3

So, 12x + 3 <= 27

This is how tis done!