Distribute 3: First, we need to distribute the 3 across the terms inside the parentheses.Calculation: 3(z + 19) > 12 becomes 3z + 3\times19 > 12.Math error check:
Simplify Right Side: Next, we simplify the right side of the inequality by multiplying 3 by 19.Calculation: 3z + 57 > 12.Math error check:
Isolate Variable Term: Now, we isolate the variable term 3z by subtracting 57 from both sides of the inequality.Calculation: 3z + 57 - 57 > 12 - 57, which simplifies to 3z > -45.Math error check:
Solve for z: Finally, we solve for z by dividing both sides of the inequality by 3. Calculation: \frac{3z}{3} > \frac{-45}{3}, which simplifies to z > -15. Math error check: