The inequality representing the additional number of children (x) that can go in the bouncy house is 15>7+x, and solving for x yields x<8.
The inequality 15>7+x represents the scenario where a bouncy house can hold fewer than 15 children. The variable x represents the additional number of children that can go in the bouncy house beyond the initial seven. By subtracting 7 from both sides of the inequality and solving for x, we get x<8.
This inequality indicates that the additional number of children, denoted by x, must be less than 8 to ensure that the total number of children in the bouncy house does not exceed the capacity of 15. Therefore, any value of x less than 8 satisfies the condition and represents the possible number of additional children that can go in the bouncy house while staying within the specified limit.