Answer:
Explanation:
To find the number of integer solutions for x, you can first set up the given inequalities and solve for x.
1/2 ≤ x/8 ≤ 7/9
Multiplying both sides of the inequality by 8, we get:
4 ≤ x ≤ 14
The solutions for x are the integers that fall within this range. Therefore, the number of integer solutions for x is 14 - 4 + 1 = 11.
Note: The +1 is included to count the endpoint 14, which is included in the solution set.
Therefore, there are 11 integer solutions for x if 1/2 is at most x/8 and x/8 is at most 7/9.