Question

solve the inequality and graph the solution.
19 > 1 + 9k
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.
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Explanation:

Step1: Subtract 1 from both sides

$$19 - 1>1 + 9k-1$$
$$18>9k$$

Step2: Divide both sides by 9

$$\frac{18}{9}>\frac{9k}{9}$$
$$2>k$$

Answer:

The solution of the inequality is \(k < 2\). On the number - line, we plot an open circle at \(k = 2\) (because the inequality is strict, \(k
eq2\)) and draw a ray to the left.