What is the justification for each step in solving the inequality?

−5(4x 6)< −18x 6 4x

select from the drop-down menus to correctly justify each step.
−5(4x 6)< −18x 6 4x given
−20x−30< −18x 6 4x
−20x−30< −14x 6
−6x−30< 6
−6x < 36
x> −6

Perform the required operations on the following functions given: f(x)= 3-x; g(x)= -2x find g[f(x)]

What is the value of x in the diagram below?

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.