What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

-4(3-5x)≥-6x+9
Use distributive property for the left side:
-4(3-5x)=-12+20x
Now solve for x.

When solving this inequality, the first step that we would want to consider to first do would be the fact of first doing what would be in 'parenthesis'. By doing this, we would be following the step of (pemdas). (p) = parenthesis. And then, we would then do exponents, and therefore finish off with solving the problem.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.