Question

1. complete the following. part a. solve (7z + 4 - 5z geq 8 + 12). solution: (square)

Explanation:

Step1: Combine like terms on left

$7z - 5z + 4 \geq 8 + 12$
$\implies 2z + 4 \geq 8 + 12$

Step2: Simplify right-hand side

$2z + 4 \geq 20$

Step3: Subtract 4 from both sides

$2z + 4 - 4 \geq 20 - 4$
$\implies 2z \geq 16$

Step4: Divide both sides by 2

$\frac{2z}{2} \geq \frac{16}{2}$
$\implies z \geq 8$

Answer:

$z \geq 8$