Home
Class 12
MATHS
If 2 le |x| le 5, then find the values o...

If `2 le |x| le 5`, then find the values of x from the graph of `y = |x|`.

Text Solution

AI Generated Solution

To solve the problem, we need to find the values of \( x \) such that \( 2 \leq |x| \leq 5 \) using the graph of the function \( y = |x| \). ### Step-by-step Solution: 1. **Understanding the Absolute Value Inequality**: The inequality \( 2 \leq |x| \leq 5 \) can be broken down into two parts: - \( |x| \geq 2 \) - \( |x| \leq 5 \) ...
Promotional Banner

Topper's Solved these Questions

  • GRAPHS OF ELEMENTARY FUNCTIONS

    CENGAGE ENGLISH|Exercise EXERCISES|34 Videos
  • GRAPHS OF POLYNOMIAL AND RATIONAL FUNCTIONS

    CENGAGE ENGLISH|Exercise Exercises|17 Videos
  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Exercises|22 Videos

Similar Questions

Explore conceptually related problems

If |x^2-7|le 9 then find the values of x

2 le 3x - 4 le 5 find x

If 0 le t le 1 , which of the following graphs is the graph of y versus x where x and y are related by the parametric equations y=t^(2) and x = sqrt(t) ?

If 02 le x le 2 , the maximum value of f(x)=1-x^(2) is

If x+ sin y = 2014 and x+ 2014 cos y = 2013, 0 le y le (pi)/(2) , then find the value of [ x + y] - 2005 (where [.] denotes greatest integer function)

For 2 lt x lt 4 find the values of |x|. (ii) For -3 le x le -1 , find the values of |x|. (iii) For -3 le x lt 1, find the values of |x| (iv) For -5 lt x lt 7 find the values of |x-2| (v) For 1 le x le 5 find fthe values of |2x -7|

Use real number line to find the range of values of x for which : -1 lt x le 6 and -2 le x le 3 .

If |x|le2 and |y|le1 , then what is the least possible value of x-y?

If -2le3x-7le8 , find x.

If cos x=sqrt(1-sin 2x),0 le x le pi then a value of x is

CENGAGE ENGLISH-GRAPHS OF ELEMENTARY FUNCTIONS -EXERCISES
  1. If 2 le |x| le 5, then find the values of x from the graph of y = |x|.

    Text Solution

    |

  2. Draw the graph of y= (1)/((1//x)).

    Text Solution

    |

  3. (a) Draw the graph of f(x) = ={{:(1",",, |x| ge 1), ((1)/(n^(2)) ",",,...

    Text Solution

    |

  4. Sketch the regions which points satisfy |x+y| ge 2.

    Text Solution

    |

  5. Sketch the region satisfying |x| lt |y|.

    Text Solution

    |

  6. For a point P in the plane, let d1(P)a n dd2(P) be the distances of th...

    Text Solution

    |

  7. Draw the graph of y= (x-1)/(x-2).

    Text Solution

    |

  8. The following figure shows the graph of f(x) =ax^(2)+bx +c, then find ...

    Text Solution

    |

  9. The entire graph of the equation y=x^2+k x-x+9 in strictly above the x...

    Text Solution

    |

  10. If x^2+2a x+a<0AAx in [1,2], the find the values of a.

    Text Solution

    |

  11. Draw the graph of f(x) = x|x|.

    Text Solution

    |

  12. Draw the graph of the function: Solve |(x^2)/(x-1)|lt=1 using the grap...

    Text Solution

    |

  13. Draw the graph of y = |x^(2) - 2x|-x.

    Text Solution

    |

  14. Draw the graph of y = {{:(2^(x)",",, x^(2)-2x le 0 ),( 1+3.5 x- x^(2),...

    Text Solution

    |

  15. Draw the graph of f(x) = |x-1|+ |2x-3|. Find the range of the functio...

    Text Solution

    |

  16. Draw the graph of f(x) =y= |x-1|+3|x-2|-5|x-4| and find the values of ...

    Text Solution

    |

  17. Find the set of real value(s) of a for which the equation |2x+3|+|2x-3...

    Text Solution

    |

  18. Draw the graph of y= 2^(((|x|+x))/(x)).

    Text Solution

    |

  19. Draw the graph of y= x ^((1)/(log(e)x)).

    Text Solution

    |

  20. Find the number of solutions to the equation x+log(e)x=0.

    Text Solution

    |

  21. Draw the graph of f(x)=x+[x], [.] denotes greatest integer function.

    Text Solution

    |