What is a correct first step in solving the inequality-4(3-5x)> -6x+9

The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law

Step-by-step explanation:

-4(3-5x)>-6x+9

We need to solve the above inequality

The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law

(-4*3) (-4*-5x) >-6x+9

-12 +20x >-6x+9

-12 + 20x >-6x+9

The next step will be to add +12 on both sides

-12 + 20x +12 >-6x+9+12

20x  >-6x+21

The next step will be to add +6x on both sides

20x +6x  > -6x+21 +6x

26x > 21

x > 21/26

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.