Answer:
The inequality that can be used to solve for how many x paintings can be displayed is 22x + 9 <= 315
Explanation:
This inequality states that the total square footage of the paintings and the sign must be less than or equal to 315 square feet. Each painting takes up 22 square feet, and the sign takes up 9 square feet, so the total square footage is represented by the expression 22x + 9.
The inequality states that 22x + 9 <= 315 which means for any number of paintings she displays it should be less than or equal to 315 sq.ft.
The other options:
22x + 9 315: the inequality is less than instead of less than or equal to, which means that the total cost should be less than 315 sq.ft which is not always the case.
22x + 92 315: the coefficient of x is 22 instead of 22 and the 92 is placed in a wrong position.
9x+22 315: the coefficient of x is 9 instead of 22 and the 22 is placed in a wrong position.
22z + 9 315: the variable used is z instead of x