Question

1. \\(\frac{1}{2}(c + 1) \geq 5\\)

Explanation:

Step1: Eliminate the fraction

Multiply both sides by 2:
$$2 \times \frac{1}{2}(c+1) \geq 2 \times 5$$
$$c+1 \geq 10$$

Step2: Isolate the variable $c$

Subtract 1 from both sides:
$$c+1 - 1 \geq 10 - 1$$
$$c \geq 9$$

Answer:

$c \geq 9$