1/4x+7greater than or equal to -2?

1/4x + 7 >= -2
1/4x >= -9
x >= -36

1/4x + 7 >= -2
1/4x >= -9
x >= -36

Assume you mean :-
(1/4) x + 7 ≥ -2
(1/4) x ≥ - 9
x ≥ - 36

PS
Remember to use brackets. The question you presented may be read in a number of ways due to lack of brackets.
Could have been taken as :-
1 / (4x + 7) ≥ -2
OR
1 / (4x) + 7 ≥ -2

1/(4x + 7) ≧ -2
1 ≧ -2(4x + 7)
1 ≧ -2*4x - 2*7
1 ≧ -8x - 14
8x ≧ -1 - 14
8x ≧ -15
x ≧ -15/8 (-1.875)

x is greater than or equal to -36

1/4 x + 7 >= -2
1/4 x >= -9
x >= -36

So x is greater than or equal to -36

x grt. or equal to -36