Solve the inequality and graph the solution. $\newline$ $\frac{d}{2}-1 \leq 1$ $\newline$ 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.

Full solution

Q. Solve the inequality and graph the solution.

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\frac{d}{2}-1 \leq 1

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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.

Add $1$ to isolate term: Add $1$ to both sides to isolate the term with $d$ .
Simplify both sides: Simplify both sides of the inequality.
Multiply by $2$ : Multiply both sides by $2$ to solve for $d$ .
Simplify multiplication: Simplify the multiplication to find the value of $d$ .
Graph solution on number line: Now, graph the solution on a number line. Plot an endpoint at $4$ . Since the inequality includes equals ( $\leq$ ), the endpoint is closed (solid dot). Draw a ray going to the left, indicating all numbers less than or equal to $4$ are part of the solution.