Final answer:
To solve the inequality 6x - 5 > -29, add 5 to both sides, then divide both sides by 6 to find x > -4.
Step-by-step explanation:
To solve the inequality 6x - 5 > -29, we can start by adding 5 to both sides of the inequality: 6x - 5 + 5 > -29 + 5. This simplifies to 6x > -24.
Next, we divide both sides of the inequality by 6: 6x/6 > -24/6. This gives us x > -4.
Therefore, the solution to the inequality is x > -4. This means that any value of x that is greater than -4 will satisfy the inequality.