Question

solve the inequality and graph the solution.
\\( \frac { d - 5 } { - 1 } \geq 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: Multiply both sides by -1

When multiplying both sides of an inequality by a negative number, the direction of the inequality sign changes.
$$\frac{d - 5}{-1}\geq1\Rightarrow d - 5\leq-1$$

Step2: Add 5 to both sides

To isolate \(d\), add 5 to both sides of the inequality.
$$d-5 + 5\leq-1+5\Rightarrow d\leq4$$

Answer:

The solution of the inequality is \(d\leq4\). On the number - line, we plot a closed circle at \(4\) (since the inequality includes equality, i.e., \(d = 4\) is part of the solution) and draw a ray to the left of \(4\) to represent all values of \(d\) that are less than or equal to \(4\).