$a(x+3) < 5x+15-x\\\\ax+3a < 5x+15-x\\\\ax+3a < 4x+15\ \ \ |-3a\\\\ax < 4x+15-3a\ \ \ \ |-4x\\\\ax-4x < 15-3a\\\\(a-4)x < 15-3a\\\\\text{The solution is all real numbers if}\ a-4=0\ \ \ |+4\\\\\boxed{a=4}\\\\\text{Check:}\\\\4(x+3) < 5x+15-x\\4x+12 < 4x+15\ \ \ \ |-4x\\12 < 15\ TRUE\to x\in\mathbb{R}$

5 0

3 years ago

What is the solution to the inequality 6 − 2x < 4?

slega [8]

X>1 if that helps with your problem

4 0

2 years ago

What is the inverse of the function f(x) = x – 12?

Luda [366]

Answer:a

Step-by-step explanation:

h(x)=x-12

h(x)=4x-48

h(x)=-1(4x-48)

h(x)=-4x+48

h(x)=48-4x

7 0

3 years ago