Question

Determine the solution set 2x+3(4-x)≤x<2(x+1)

Answer 1

6≤x>2

Explanation:

2x+3(4-x)≤x<2(x+1) simplify

2x+12-3x≤x<2x+2

first step:

-x+12≤x

-x+12+x≤x+x

12≤2x , then 12/2 ≤ x

6≤x or x ≥ 6

second step: x<2x+2

x-2x<2x-2x+2

-x<2 when divide by negative the sign flip in this case from less to great than

x>2

6≤x>2