10q-3r=14, 10q=3r-14 10q=3r/10+14/10
q=3/10r+7/5
The scenario represents a linear function. The rate is at a constant increase therefore it is linear.
Linear because it’s a constant rate
Since it’s doubled, and doesn’t go at a constant rate, it is a exponential function
Exponential since it increases by a multiplicative rate. It’s not constant
Simplify both sides if needed. The left-hand side needs simplification.
4(x - 6)

-2x + 6
4x - 24

-2x + 6
All is left to do is add and subtract to get the x variable all alone.
4x - 24

-2x + 6
6x - 24

6 <-- Add 2x to both sides
6x

30 <-- Add 24 to both sides
x

5 <-- Divide both sides by 6
In order to be in the solution set, x has to be less than or equal to 5.
In interval notation: [5, -∞)