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Kira has already biked 11 kilometers. She will bike more than 2 additional kilometers. Let's look at the possible total numbers of kilometers Kira will bike.
(a) Fill in the blanks to write an inequality that can be used to find 
x, the total number of kilometers Kira will bike. Choose only from 
11+x,11-x, 
x-11,11 x,(11 )/(x),(x)/( 11), < , <= , > , >=, or 2 .

Kira has already biked 1111 kilometers. She will bike more than 22 additional kilometers. Let's look at the possible total numbers of kilometers Kira will bike.\newline(a) Fill in the blanks to write an inequality that can be used to find x x , the total number of kilometers Kira will bike. Choose only from 11+x,11x 11+x, 11-x , x11,11x,11x,x11,<,,>, x-11,11 x, \frac{11}{x}, \frac{x}{11},<, \leq,>, \geq , or 22 .

Full solution

Q. Kira has already biked 1111 kilometers. She will bike more than 22 additional kilometers. Let's look at the possible total numbers of kilometers Kira will bike.\newline(a) Fill in the blanks to write an inequality that can be used to find x x , the total number of kilometers Kira will bike. Choose only from 11+x,11x 11+x, 11-x , x11,11x,11x,x11,<,,>, x-11,11 x, \frac{11}{x}, \frac{x}{11},<, \leq,>, \geq , or 22 .
  1. Understand the problem: First, let's understand the problem. Kira has already biked 1111 kilometers and will bike more than 22 additional kilometers. We need to find the total distance she will bike, represented by xx.
  2. Express with an inequality: To express this situation with an inequality, we start by adding the additional kilometers she will bike to the 1111 kilometers already biked. The inequality should compare this sum to a number. Since she bikes more than 22 additional kilometers, we use the symbol '>\'.
  3. Formulate the inequality: The correct inequality is \(x - 11 > 2, where xx is the total number of kilometers Kira will bike. This inequality states that the total kilometers minus the 1111 she has already biked is greater than 22.

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