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solve the inequality and graph the solution. 1 > \\frac{d}{3}-1 plot th…

Question

solve the inequality and graph the solution.
1 > \frac{d}{3}-1
plot the endpoints. select an endpoint to change it from closed to open. select the middle of
the segment, ray, or line to delete it.
submit

Explanation:

Step1: Add 1 to both sides

$$1 + 1>\frac{d}{3}-1 + 1$$
$$2>\frac{d}{3}$$

Step2: Multiply both sides by 3

$$2\times3>\frac{d}{3}\times3$$
$$6 > d$$
$$d<6$$

Answer:

The solution of the inequality is \(d < 6\). On the number - line, we have an open circle at \(d = 6\) (because the inequality is strict, \(d
eq6\)) and the ray extends to the left.