Suppose a classmate is having difficulty solving 4(x - 7) > 6x + 2 + 8x. Explain how to solve the inequality, showing all the necessary steps and
identifying the properties you would use.

X < -3

Step-by-step explanation:

First, you would want to distribute the 4 to the x and the -7. Distribution is just multiplying. So it would be 4x - 28. Then youd combine the like terms which would be 6x and 8x. Add them. You’re inequality should look like this.

4x - 28 > 14x + 2

you need to get the x’s all on one side. I suggest subtraction -4x from both sides to not only cancel out the 4x but it also keeps both sides equal

-28 > 10x + 2

you need to get 10x by itself on the right side so you must subtract 2 from both sides to equal and remove 2

-30 > 10x

divide both sides by 10 to get x by itself

-3 > x

which is the same as x < -3

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

believe it or not anna is correct good job anna give me a fist bump there u go gal