Question

Consider the following inequality. Step 1 of 2: Write the solution using interval notation. Answer 2z - 1.2 > 30.4 - 2z​

Answer 1

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.