1/2x-3<1

A)-4 < x - 3 < 8
B)x > - 8
C)x < 8
D)2 < x < 8
E)x>8

Add 3 to each side.

Divide each side by (1/2),

nope, not a.

To solve the inequality 1/2x - 3 < 1, we can use algebraic manipulation. Here's how you can solve it:

Step 1: Add 3 to both sides of the inequality:
1/2x - 3 + 3 < 1 + 3
1/2x < 4

Step 2: Multiply both sides of the inequality by 2 to get rid of the fraction:
2 * (1/2x) < 2 * 4
x < 8

Therefore, the correct answer is C) x < 8.