#### Answer

B) $p\gt-6$

#### Work Step by Step

$-3p+4\lt22\longrightarrow$ subtract 4 from both sides.
$-3p+4-4\lt22-4\longrightarrow$ simplify.
$-3p\lt18\longrightarrow$ divide both sides by -3; reverse the inequality sign, since there is division of a negative number.
$-3p\div-3\gt18\div-3\longrightarrow$ simplify
$p\gt-6$
Check: $-5$ for p because $-5\gt-6$ (remember we are working with negatives)
$-3(-5)+4\lt22$
$15+4\lt22$ is true because $15+4=19$
$19\lt22$ is true
Continue to guess and check if you are uncertain of your work.