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How many integers are there in the solut...

How many integers are there in the solution set of `|x-2|le5`?

A

0

B

7

C

9

D

11

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The correct Answer is:
To solve the inequality \( |x - 2| \leq 5 \), we can break it down into two separate inequalities based on the definition of absolute value. ### Step 1: Break down the absolute value inequality The inequality \( |x - 2| \leq 5 \) can be rewritten as: \[ -5 \leq x - 2 \leq 5 \]
To solve the inequality \( |x - 2| \leq 5 \), we can break it down into two separate inequalities based on the definition of absolute value. ### Step 1: Break down the absolute value inequality The inequality \( |x - 2| \leq 5 \) can be rewritten as: \[ -5 \leq x - 2 \leq 5 \] ...
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ENGLISH SAT-DIAGNOSTIC TEST -MCQs (EXERCISE)
  1. log(7)9=

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  2. Which of the following is perpendicular to the line y=-3x+7?

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  3. How many integers are there in the solution set of |x-2|le5?

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  4. If f(x)=sqrt(x^(2)), then f(x) can also be expressed as

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  5. If x+1 is a factor of x^(3)-5x^(2)+kx+2, then k=

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  6. George invests $1,000 into an account that he hopes will earh 12% inte...

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  7. A linear function has an x-intercept of sqrt(3) and a y-intercept of s...

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  8. If f(x)=2x-1, find the value of x that makes f(f(x))=9.

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  9. The plane 2x+3y-4z=5 intersects the x-axis at (a,0,0), the y-axis at (...

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  10. Given the set of data 1,1,2,2,2,3,3,4, which one of the following stat...

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  11. If (x-3y)/(x)=7, what is the value of (x)/(y)?

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  12. Find all values of x that make |(2,-1,4),(3,0,5),(4,1,6)|=|(x,4),(5,x)...

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  13. Suppose f(x)=(1)/(2)x^(2)-8 for -4lexle4. Then the maximum value of th...

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  14. If tantheta=(2)/(3), then sintheta=

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  15. Suppose the graph of f(x)=-x^(3) is translated 4 units right and 2 uni...

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  16. i^(2014)=

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  17. The statistics below provide a summary of IQ scores of 100 children. ...

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  18. If f(x)=secx, then

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  19. The polar coordinates of a point P are (2,200^(@)) The rectangular coo...

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  20. The height of a cone is equal to the radius of its base. The radius of...

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