Question

solve the inequality. graph the solution. 3d - 7d + 2.8 < 5.8 - 27 the solution is \\(\square\\).

Explanation:

Step1: Combine like terms on left

\(3d - 7d + 2.8 = -4d + 2.8\)

Step2: Simplify right side

\(5.8 - 27 = -21.2\)

Step3: Subtract 2.8 from both sides

\(-4d + 2.8 - 2.8 < -21.2 - 2.8\)
\(-4d < -24\)

Step4: Divide by -4 (reverse inequality)

\(\frac{-4d}{-4} > \frac{-24}{-4}\)
\(d > 6\)

Answer:

\(d > 6\) (Graph: open circle at 6, arrow to the right)