-4vert bvert -2geqslant -66 Write a compound Inequality like 1lt xlt 3 or like xlt 1 or xgt 3 Use integers, proper fractions, or improper fractions In simplest form. square

To solve the inequality $-4\vert b\vert -2\geqslant -66$, we first isolate the absolute value expression by adding 2 to both sides of the inequality:<br /><br />$-4\vert b\vert \geqslant -64$<br /><br />Next, we divide both sides by -4, remembering to reverse the inequality sign because we are dividing by a negative number:<br /><br />$\vert b\vert \leqslant 16$<br /><br />The absolute value inequality $\vert b\vert \leqslant 16$ can be rewritten as a compound inequality:<br /><br />$-16 \leqslant b \leqslant 16$<br /><br />Therefore, the solution to the inequality $-4\vert b\vert -2\geqslant -66$ is $-16 \leqslant b \leqslant 16$.