Solve inequality for X
x-c/d > y (For d > 0)
To solve the inequality x - c/d > y, where d > 0, we need to isolate x on one side of the inequality symbol by performing the necessary operations. Here's the step-by-step process:
Step 1: Multiply both sides of the inequality by d to eliminate the fraction:
(d)(x - c/d) > (d)(y)
Step 2: Distribute the d on the left side of the inequality:
dx - c > dy
Step 3: Add c to both sides of the inequality to isolate the x term:
dx - c + c > dy + c
Simplifying:
dx > dy + c
Step 4: Divide both sides of the inequality by d to solve for x:
(dx)/d > (dy + c)/d
Simplifying:
x > (dy + c)/d
Therefore, the solution to the inequality x - c/d > y (for d > 0) is x > (dy + c)/d.