Final answer:
To solve the inequality 1/3(3x+6)>-1, multiply both sides by 3, subtract 6 from both sides, and then divide by 3 to find that x > -3.
Step-by-step explanation:
To solve the multi-step inequality 1/3(3x+6)>-1, follow these steps:
a) Multiply both sides of the inequality by 3 to eliminate the fraction:
=> 3x + 6 > -3.
b) Subtract 6 from both sides:
=> 3x > -9.
c) Divide both sides by 3 to solve for x:
=> x > -3.
This tells us that the solution to the inequality is any number greater than -3.