What are the solutions of the inequality? 12x – 3x + 11 > 4x – (17 – 9x) a. x > –7 b. x > −1411 c. x < −1411 d. x < 7

option d. x < 7

Explanation:

1) given: 12x – 3x + 11 > 4x – (17 – 9x)


2) expand the parenthesis: 12x - 3x + 11 > 4x - 17 + 9x

3) combine like terms on each side: 9x + 11 > 13x - 17

4) subtract 9x and add 17 to both sides:9x - 9x + 11 + 17 > 13x - 9x - 17 + 17

5) combine like terms: 28 > 4x

6) divide both sides by 4: 7 > x

That is x < 7 which is the option d.

Is there a picture of a graph or whatever that goes along with this?

Answer:

the image is given below

step-by-step explanation:

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this