Question

solve the inequality. -2d - 2 < 3d + 8 solution: graph the solution.

Explanation:

Step1: Rearrange the inequality

Start with \(-2d - 2<3d + 8\). Add \(2d\) to both sides: \(-2<3d + 2d+8\), which simplifies to \(-2 < 5d+8\).

Step2: Isolate the variable term

Subtract 8 from both sides: \(-2-8 < 5d\), so \(-10 < 5d\).

Step3: Solve for \(d\)

Divide both sides by 5: \(\frac{-10}{5}

Answer:

\(d > - 2\) (On the number - line, an open - circle at \(-2\) and an arrow pointing to the right)