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Ron is building a shelving unit to hold all of his shoes. A pair of work shoes takes up 11 square foot of space, and a pair of boots occupies 33 square feet. The total amount of shelving space taken up by all the shoes can be at most 3333 square feet.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of pairs of shoes\newliney=y = the number of pairs of boots\newlineChoices:\newline(A) x+3y33x + 3y \geq 33\newline(B) x+3y33x + 3y \leq 33\newline(C) 3x+y333x + y \geq 33\newline(D) 3x+y333x + y \leq 33

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Q. Ron is building a shelving unit to hold all of his shoes. A pair of work shoes takes up 11 square foot of space, and a pair of boots occupies 33 square feet. The total amount of shelving space taken up by all the shoes can be at most 3333 square feet.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of pairs of shoes\newliney=y = the number of pairs of boots\newlineChoices:\newline(A) x+3y33x + 3y \geq 33\newline(B) x+3y33x + 3y \leq 33\newline(C) 3x+y333x + y \geq 33\newline(D) 3x+y333x + y \leq 33
  1. Define Variables: Define the variables based on the given information. We are told that a pair of work shoes takes up 11 square foot of space, and a pair of boots occupies 33 square feet. Therefore, if xx represents the number of pairs of work shoes and yy represents the number of pairs of boots, then the total space taken up by the shoes and boots can be represented by the expression x+3yx + 3y.
  2. Determine Constraint: Determine the constraint on the total space. We are told that the total amount of shelving space taken up by all the shoes can be at most 3333 square feet. This means that the expression representing the total space, x+3yx + 3y, must be less than or equal to 3333.
  3. Write Inequality: Write the inequality that represents the situation. Based on the constraint from Step 22, the inequality in standard form is x+3y33x + 3y \leq 33. This inequality shows that the total space used by the shoes and boots cannot exceed 3333 square feet.

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