Question

solve the inequality and graph the solution.
-2d - 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: Add 3 to both sides

$$-2d-3 + 3>1 + 3$$
$$-2d>4$$

Step2: Divide both sides by -2 and reverse the inequality sign

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{-2d}{-2}<\frac{4}{-2}$$
$$d < - 2$$

Answer:

The solution of the inequality is \(d < - 2\). On the number - line, we plot an open circle at \(-2\) (because the inequality is strict, \(d
eq - 2\)) and draw a ray to the left of \(-2\) towards \(-\infty\).