This question has two parts. First, answer Part A. Then, answer Part B. Part A Solve the compound inequality -9leqslant 5p+1lt 21 A) pvert -2lt pleqslant 4 B) pvert -4lt pleqslant 2 C) pvert -2leqslant plt 4 D pvert -2leqslant plt 2

To solve the compound inequality $-9\leqslant 5p+1\lt 21$, we need to isolate the variable $p$.<br /><br />Step 1: Subtract 1 from all parts of the inequality:<br />$-9-1\leqslant 5p+1-1\lt 21-1$<br />$-10\leqslant 5p\lt 20$<br /><br />Step 2: Divide all parts of the inequality by 5:<br />$\frac{-10}{5}\leqslant \frac{5p}{5}\lt \frac{20}{5}$<br />$-2\leqslant p\lt 4$<br /><br />Therefore, the solution to the compound inequality is $\{ p\vert -2\leqslant p\lt 4\}$.<br /><br />Answer: C) $\{ p\vert -2\leqslant p\lt 4\}$<br /><br />Part B<br />Solve the compound inequality $-9\leqslant 5p+1\lt 21$<br />A) $\{ p\vert -2\lt p\leqslant 4\} $<br />B) $\{ p\vert -4\lt p\leqslant 2\} $<br />C) $\{ p\vert -2\leqslant p\lt 4\} $<br />D) $\{ p\vert -2\leqslant p\lt 2\} $