Question

solve the inequality and graph the solution.

( k + 6 geq 10 )

to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Subtract 6 from both sides

$$k+6 - 6\geq10 - 6$$

Step2: Simplify

$$k\geq4$$

To graph the solution:

• Plot a closed endpoint at \(4\) (because the inequality is \(\geq\), so \(4\) is included in the solution set).
• Draw an arrow to the right (since \(k\) is greater than or equal to \(4\)).

Answer:

The solution of the inequality \(k + 6\geq10\) is \(k\geq4\). On the number - line, we have a closed circle at \(4\) and a ray extending to the right.