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Hello

Do you have any guesses on how to start this problem?

I multipy 5x 15+10-6< 4x 12x-20+12, I am not good at all with algebra.

When you multiply 5x times 3x, what do you get?

15

Actually, you get 15x^2. The x's multiply with each other. But the 5*3 was spot on.

okay, thanks!

Do you see how that works?

Do you see how that works?

Alright, now let's try to multiply the 5x and the +2 together.

5x + 2 -7

Yes, 5x2+10

Mm.. Not quite. Remember, the x is a variable, not the same as a multiplication symbol.
5x * 2 = 10x

Okay I understand

Yes!

Okay I am following!

Cool, can you distribute on the right side then?
4X(2X-5) +12

yes 20x^4 +10

8x^2 +12

4x8-5+3

would it be 1x

20

20x's

Yes it does, thank you!

15x2+10x-6 < 20x2-20x+12
-15x+6 20x-12

I added six to both sides to get +18 on the right side. The rest is correct :)

Now, are you familiar with the quadratic equation?

Oh wait. I lie.

Okay

I screwed up my math somewhere.
The system is true when:
-4.819 < X < 0.533

And that's the answer.

No problem Sorry I couldn't be more clear.