If x is the width, in inches, of the box, then the length of the box is 2.5x inches. It follows that the perimeter of the base is 2(2.5x + x), or 7x inches. The height of the box is given to be 60 inches. According to the restriction, the sum of the perimeter of the base and the height of the box should not exceed 130 inches. Algebraically, that is 7x+60≤130, or 7x≤70. Dividing both sides of the inequality by 7 gives x≤10. Since x represents the width of the box, x must also be a positive number. Therefore, the inequality 0<x≤10 represents all the allowable values of x that satisfy the given conditions.