Final answer:
To solve the inequality 4x-10 > -12, add 10 to both sides, then divide both sides by 4. The solution is x > -0.5.
Step-by-step explanation:
To solve the inequality 4x-10 > -12, we need to isolate the variable x. First, add 10 to both sides of the inequality: 4x-10+10 > -12+10. This simplifies to 4x > -2. Next, divide both sides by 4 to solve for x: (4x)/4 > (-2)/4. This gives x > -0.5. Therefore, the solution to the inequality is x > -0.5.