Solve the inequality and graph the solution. 5(p+10)-20geqslant 20

To solve the inequality $5(p+10)-20\geqslant 20$, we need to isolate the variable $p$.<br /><br />Step 1: Distribute the 5 to both terms inside the parentheses:<br />$5p + 50 - 20 \geqslant 20$<br /><br />Step 2: Combine like terms:<br />$5p + 30 \geqslant 20$<br /><br />Step 3: Subtract 30 from both sides of the inequality:<br />$5p \geqslant -10$<br /><br />Step 4: Divide both sides of the inequality by 5:<br />$p \geqslant -2$<br /><br />Therefore, the solution to the inequality is $p \geqslant -2$.<br /><br />To graph the solution, we can represent it on a number line. We will draw a closed circle at $p = -2$ and shade the region to the right of it, indicating that all values greater than or equal to $-2$ are included in the solution.<br /><br />The graph would look like this:<br /><br />```<br /><---|---|---|---|---|---|---|---|---|---|---><br /> -5 -4 -3 -2 -1 0 1 2 3 4<br /> [====================><br />```