Answer:
To solve the inequality 8d + 2 < 5d - 7, follow these steps:
Isolate the variable d on one side of the inequality.
Start by moving all terms involving d to one side and constants to the other side of the inequality:
8d - 5d + 2 < -7
Combine like terms.
Simplify the left side of the inequality by combining the d terms:
3d + 2 < -7
Isolate the variable term.
To isolate the variable term 3d, subtract 2 from both sides of the inequality:
3d < -7 - 2
3d < -9
Divide by the coefficient of d.
To solve for d, divide both sides of the inequality by 3:
(3d) / 3 < (-9) / 3
d < -3
So, the solution to the inequality 8d + 2 < 5d - 7 is:
d < -3
Explanation: