Let f:r→r be defined by f(x)=−9x−3. is a linear transformation?

Well. The function could be considered as a linear transformation of the function g(x) = -9x. f(x) is translated by 3 units down.

X= a number
times= multiply

6x - 5 ≤ 25
add 5 to both sides

6x ≤ 30
divide both sides by 6

x ≤ 5

ANSWER: x ≤ 5 (sorry, I cannot show you the graphing portion: on the x axis at 5, draw a solid perpendicular line and shade everything to the left of the line indicating everything less than 5)

Hope this helps! :)