Question

What value of x is in the solution of 3(x-4)>=5x+2

Answer 1

`3(x-4)\geq5x+2\ \ \ |\text{Use distributive property}\\\\(3)(x)-(3)(4)\geq5x+2\\\\3x-12\geq5x+2\ \ \ \ |+12\\\\3x\geq5x+14\ \ \ |-5x\\\\-2x\geq14\ \ \ \ |\text{change the signs}\\\\2x\leq-14\ \ \ \ |:2\\\\x\leq-7\to x\in\left(-\infty;-7\right]`