Final answer:
An equivalent form of the compound inequality -33 > -3x - 6 > 6 is 13 < x + 4 < 0.
Step-by-step explanation:
To find an equivalent form of the compound inequality -33 > -3x - 6 > 6, we need to solve for x.
Step 1: Subtract 6 from all three parts of the inequality: -33 - 6 > -3x - 6 - 6 > 6 - 6.
-39 > -3x - 12 > 0
Step 2: Divide all three parts of the inequality by -3, but remember to reverse the inequality symbols since we are dividing by a negative number: -39/-3 < (-3x - 12)/-3 < 0/-3.
13 < x + 4 < 0
So, an equivalent form of the compound inequality -33 > -3x - 6 > 6 is 13 < x + 4 < 0.