the space provided. Solve the Inequality. Graph the solution set on a number line -5(1+4x)geqslant 120+5x Inequality: __

To solve the inequality $-5(1+4x)\geqslant 120+5x$, we first distribute the -5 on the left side of the inequality:<br /><br />$-5 - 20x \geqslant 120 + 5x$<br /><br />Next, we combine like terms by adding 20x to both sides of the inequality:<br /><br />$-5 \geqslant 120 + 25x$<br /><br />Then, we subtract 120 from both sides of the inequality:<br /><br />$-125 \geqslant 25x$<br /><br />Finally, we divide both sides of the inequality by 25:<br /><br />$x \leqslant -5$<br /><br />So, the solution to the inequality is $x \leqslant -5$.<br /><br />To graph the solution set on a number line, we would draw a closed circle at -5 and shade to the left of the circle, indicating that all values less than or equal to -5 are included in the solution set.