Respuesta :

Answer:

x > 19 represents the solution

Step-by-step explanation:

Answer:

If we look at the inequality, we can see the "<" is being used.

By looking at the answer choices, we can already exclude answer options A and D because they are using the inverse symbol of the symbol being used in this inequality which is ">" not "<".

Let's solve;

42 - 3x < - 15

In every inequality, we first need to get rid of the constants.

The inverse operation of addition is subtraction (because 42 is positive).

-42           -42

-3x < -57

Now, all we need to do is isolate x by getting rid of it's coefficient.

In order to do that, we must perform the inverse operation of multiplication which is division (because -3 is being multiplied by x).

÷-3         ÷-3

x < 19, your only choice left is C.

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