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solve the inequality and graph the solution. \\(\\frac{d - 1}{3}>1\\) p…

Question

solve the inequality and graph the solution.
\\(\frac{d - 1}{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.

Explanation:

Step1: Multiply both sides by 3

Multiply $\frac{d - 1}{3}>1$ by 3 to get $d - 1>3$.

Step2: Add 1 to both sides

Add 1 to both sides of $d - 1>3$, so $d>3 + 1$, which simplifies to $d>4$.

Answer:

The solution of the inequality is $d>4$. On the number - line, we have an open - circle at 4 (since 4 is not included in the solution) and the ray extends to the right of 4.