Question

Solve for z. -1.2z-8.2>-9.7
1) -1.5

Answer 1

To solve the inequality -1.2z - 8.2 > -9.7, add 8.2 to both sides then divide by -1.2 to find that z < 1.25.

Step-by-step explanation:

To solve for z in the inequality -1.2z - 8.2 > -9.7, we want to isolate z on one side of the inequality sign. First, we can start by adding 8.2 to both sides of the equation:

-1.2z - 8.2 + 8.2 > -9.7 + 8.2

-1.2z > -1.5

Then, we can divide both sides by -1.2, remembering that division by a negative number flips the inequality sign:

-1.2z/-1.2 < -1.5/-1.2

z < 1.25

Therefore, z is less than 1.25.