What is the solution of 2-(x+4)is greater than or equal to 3-2x by using interval notation

Answer 1

2 - (x + 4) >= 3 - 2x
2 - x - 4 >= 3 - 2x
-x - 2 >= -2x + 3

add x to each side

-2 >= -x + 3

subtract 3 from both sides

-5 >= -x

multiply through by -1, remembering to reverse the direction of the inequality

5 <= x
means
x >= 5

for interval notation use the square bracket when = is involved and the round bracket when it is not.