Answer
$a\geq-1$
Work Step by Step
Start with the orginal inequality.
$\frac{1}{4}+a\geq-\frac{3}{4}$
Then, isolate $a$ on its side, and you will get the answer.
$(\frac{1}{4}+a)-\frac{1}{4}\geq(-\frac{3}{4})-\frac{1}{4}$
$a\geq-\frac{4}{4}$
$a\geq-1$
When graphing the inequality, start at -1, use a closed circle because we're using equal to, and make the arrow go forward, as $a$ is greater than -1.