Answer: z > 7.9
Step-by-step explanation: To solve the inequality 2z - 1.2 > 30.4 - 2z, you can start by isolating the variable z on one side of the inequality. Here are the steps:
Add 2z to both sides of the inequality to move the variable terms to one side:
2z + 2z - 1.2 > 30.4 - 2z + 2z
This simplifies to:
4z - 1.2 > 30.4
Next, add 1.2 to both sides of the inequality to isolate the variable term:
4z - 1.2 + 1.2 > 30.4 + 1.2
This simplifies to:
4z > 31.6
Finally, divide both sides of the inequality by 4 to solve for z:
(4z)/4 > 31.6/4
This simplifies to:
z > 7.9
Now, you have the solution to the inequality: z > 7.9.
In interval notation, this is represented as (7.9, ∞), indicating that the solution includes all real numbers greater than 7.9.