What is the solution to |10x|greater than -2

The solution is: , that is, all real values of x.

Step-by-step explanation:

The modulus of a value x(|x|) is the distance of x to the origin.

A distance is a positive measure, or zero, so |x| is never a negative value.

In this problem:

|10x| > -2

Remembering that the modulus is never negative, which means that for every value of x in the real set, |10x| > -2.

So the solution is: , that is, all real values of x.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

about 168 miles

step-by-step explanation: