Subtract 2 from both sides of the inequality.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here is the solution for the inequality:
$$2 - \frac{1}{2}x < 5$$
Step 1: Subtract 2 from both sides of the inequality.
$$-\frac{1}{2}x < 5 - 2$$
$$-\frac{1}{2}x < 3$$
Step 2: Multiply both sides by $-2$. When multiplying or dividing an inequality by a negative number, you must reverse the direction of the inequality sign.
$$x > 3 \times (-2)$$
$$x > -6$$
The solution is:
$$\boxed{x > -6}$$
That's 2 down. 3 left today — send the next one.
