Final answer:
To solve the number puzzle, we multiply the mystery number by 4, add 6, and find an inequality. By isolating the variable 'x', we determine that the mystery number must be greater than -1.
Step-by-step explanation:
To solve this number puzzle, we need to multiply the mystery number by 4 and then add 6.
The result should be greater than 2. Let's represent the mystery number as 'x'. So, the equation becomes: 4x + 6 > 2.
To isolate 'x', we need to subtract 6 from both sides of the inequality: 4x + 6 - 6 > 2 - 6. This simplifies to 4x > -4.
Finally, we divide both sides of the inequality by 4 to solve for 'x': 4x/4 > -4/4.
This gives us x > -1. So, the mystery number must be greater than -1.