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solve the inequality and graph the solution. 6 < 15 + 9t to draw a ray,…

Question

solve the inequality and graph the solution.
6 < 15 + 9t
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 15 from both sides

$$6 - 15<15 + 9t-15$$
$$-9 < 9t$$

Step2: Divide both sides by 9

$$\frac{-9}{9}<\frac{9t}{9}$$
$$- 1

Answer:

The solution is \(t > - 1\). On the number - line, we plot an open circle at \(t=-1\) (because the inequality is strict, i.e., \(t
eq - 1\)) and draw an arrow to the right.