Solve the inequality. Select the correct answers. 5x+6leqslant 21 -6 -6 5xleqslant ? div 5div 5

To solve the inequality $5x+6\leqslant 21$, we need to isolate the variable $x$.<br /><br />Step 1: Subtract 6 from both sides of the inequality:<br />$5x+6-6\leqslant 21-6$<br />$5x\leqslant 15$<br /><br />Step 2: Divide both sides of the inequality by 5:<br />$\frac{5x}{5}\leqslant \frac{15}{5}$<br />$x\leqslant 3$<br /><br />Therefore, the solution to the inequality $5x+6\leqslant 21$ is $x\leqslant 3$.