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Rossana heads the finance department of a small city. This year, the budget for the department is 1.32 million dollars. If Rossana is asked to bring the department's budget to under 1.12 million dollars next year, which of the following can be used to represent 
x, the amount of money, in millions of dollars, Rossana must cut from the department's budget?
Choose 1 answer:
(A) 
1.32-x > 1.12
(B) 
1.32-x < 1.12
(C) 
x-1.32 > 1.12
(D) 
x-1.32 < 1.12

Rossana heads the finance department of a small city. This year, the budget for the department is 11.3232 million dollars. If Rossana is asked to bring the department's budget to under 11.1212 million dollars next year, which of the following can be used to represent x x , the amount of money, in millions of dollars, Rossana must cut from the department's budget?\newlineChoose 11 answer:\newline(A) 1.32x>1.12 1.32-x>1.12 \newline(B) 1.32x<1.12 1.32-x<1.12 \newline(C) x1.32>1.12 x-1.32>1.12 \newline(D) x1.32<1.12 x-1.32<1.12

Full solution

Q. Rossana heads the finance department of a small city. This year, the budget for the department is 11.3232 million dollars. If Rossana is asked to bring the department's budget to under 11.1212 million dollars next year, which of the following can be used to represent x x , the amount of money, in millions of dollars, Rossana must cut from the department's budget?\newlineChoose 11 answer:\newline(A) 1.32x>1.12 1.32-x>1.12 \newline(B) 1.32x<1.12 1.32-x<1.12 \newline(C) x1.32>1.12 x-1.32>1.12 \newline(D) x1.32<1.12 x-1.32<1.12
  1. Set up equation: Rossana needs to reduce the budget from 1.321.32 million dollars to under 1.121.12 million dollars. To find out how much needs to be cut, we can set up an equation where xx represents the amount to be cut from the current budget of 1.321.32 million dollars. The new budget after the cut should be less than 1.121.12 million dollars.
  2. Express situation with equation: We can express this situation with the equation 1.32x1.32 - x, where xx is the amount cut. To ensure the new budget is less than 1.121.12 million dollars, we set up the inequality 1.32x<1.121.32 - x < 1.12.
  3. Check options: Now we check the options given to see which one matches our inequality. Option (B) states 1.32x<1.121.32 - x < 1.12, which is exactly the inequality we have derived.

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