Question

station 2
solve and graph the solution set to each inequality.

1. ( 28 - k geq 7 ( k - 4 ) )

Explanation:

Step1: Expand the right - hand side

$$28 - k\geq7k - 28$$

Step2: Move the terms with \(k\) to one side

Add \(k\) to both sides:
$$28\geq8k - 28$$

Step3: Isolate the term with \(k\)

Add \(28\) to both sides:
$$56\geq8k$$

Step4: Solve for \(k\)

Divide both sides by \(8\):
$$k\leq7$$

Answer:

The solution set is \(k\leq7\). To graph it, draw a closed circle at \(7\) (since the inequality includes equality) on the number line and shade to the left of \(7\).