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I see that you are posting these types of questions. Do you know how to solve them?
One of my good ways would be to actually plug in the numbers
how do i do that ?
I will teach that to you. Do you know what the absolute value symbols mean?
that whats inside it is positive ?
Yes or, in other words, the distance from that number and 0 (that's why it's positive).
So what will happen to the negative numbers once you plug them inside of the absolute value?
they will become positive
Now let's work with the first option.
Actually for the sake of time, let's do the second one.
If we first plug in -3 for x. \[-3|-3+7|\] First, we need to work with the numbers inside of the parenthesis. what is -3 + 7?
sorry not the parenthesis, i meant the absolute value symbols.
in other words, what is the absolute value of -3 + 7?
did you get the answer?
how would i get the absolute value of that?
x: −3|x + 7| = −12 divide both sides by -3 |x + 7| = 4 now the left side is positive but the x + 7 can be negative or positive so we have x + 7 = 4 or x + 7 = -4 solve these 2 equations
-3 + 7 = 4 absolute value would just be 4
i got x = -3, x= -11
there are 2 answers they are the solutions of x + 7 = 4 and x + 7 = -4
i'm sure you can solve these 2 simple equations ?
i got that answer that i posted above
i got -3 for the first equation and -11 for the second