Solve for a. -6a+33leqslant 9 ageqslant -4 aleqslant 4 ageqslant 4 ageqslant -7

To solve the inequality $-6a+33\leqslant 9$, we need to isolate the variable $a$.<br /><br />Step 1: Subtract 33 from both sides of the inequality:<br />$-6a+33-33\leqslant 9-33$<br />$-6a\leqslant -24$<br /><br />Step 2: Divide both sides of the inequality by -6:<br />$\frac{-6a}{-6}\geqslant \frac{-24}{-6}$<br />$a\geqslant 4$<br /><br />Therefore, the solution to the inequality $-6a+33\leqslant 9$ is $a\geqslant 4$.<br /><br />The other options are incorrect:<br />- $a\geqslant -4$ is not a solution to the inequality.<br />- $a\leqslant 4$ is not a solution to the inequality.<br />- $a\geqslant -7$ is not a solution to the inequality.