Home
Class 10
MATHS
If P = {x : 7x - 4 gt 5x + 2, x in R} an...

If `P = {x : 7x - 4 gt 5x + 2, x in R} and Q = {x : x - 19 ge 1 - 3x, x in R}`, find the range of set `P cap Q` and represent it on a number line.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUATIONS

    ICSE|Exercise QUESTIONS |22 Videos
  • LINEAR INEQUATIONS

    ICSE|Exercise Multiple Choice Questions|47 Videos
  • LINEAR INEQUATIONS

    ICSE|Exercise Competency Based Questions|15 Videos
  • HEIGHTS AND DISTANCES

    ICSE|Exercise Exercise 22 C |28 Videos
  • LOCI (LOCUS AND ITS CONSTRUCTIONS)

    ICSE|Exercise EXERCISE 16(B)|49 Videos

Similar Questions

Explore conceptually related problems

Given : A = {x : 11x - 5 gt 7x + 3, x in R} and B = {x : 18x - 9 ge 12x., x in R} .

Given P = {x:9 lt 2x - 1 le 13, x in R} and Q = { x : - 5 le 3+ 4x lt 15, x in I} Where R={Real Numbers} and I={Integers}.Represent P and Q on number lines. Write down the elements of P nnQ

Given A = {x : -1 lt x le 5, x in R} and B = {x : - 4 le x lt 3, x in R} . Represent on different number line :

P is the solution set of 7x -2 gt 4x + 1 and Q is the solution set of 9x - 45 ge 5 (x - 5) , where x in R . Represent : P cap Q ' on different number lines.

Let P = { x : x in R , |x| Q = {x:x in R , |x -1 |ge 2} P uu Q = R - S then set S is : (where R is the set of real number)

Given : P = {x : 5 lt 2x - 1 le 11, x in R} Q = {x : 1 le 3 + 4x lt 23, x in I} where R = (real numbers) and I = (integers). Represent P and Q on two different number lines. Write down the elements of P cap Q .

Give : A = {x : -8 lt 5x + 2 le 17,x in I} B= {x : - 2 le 7 + 3x lt 17, x in R} Where R = {real numbers} and I ={integers}. Represent A and B on two different number lines. Write down the elements of A cap B .

P is solution set of : 7x - 2 gt 4x + 1 and Q is the solution set of : 9x - 45 ge 5 (x - 5) : where x in R. Represent (i) P - Q and P nnQ on different number lines.

Solve the inequation 5x - 2 ge 3x - 1 If x in R and represent the solution on the number line

ICSE-LINEAR INEQUATIONS-EXERCISE 4 (B)
  1. P is the solution set of 7x -2 gt 4x + 1 and Q is the solution set of ...

    Text Solution

    |

  2. P is the solution set of 7x -2 gt 4x + 1 and Q is the solution set of ...

    Text Solution

    |

  3. If P = {x : 7x - 4 gt 5x + 2, x in R} and Q = {x : x - 19 ge 1 - 3x, x...

    Text Solution

    |

  4. Find the range of values of x, which satisfy : - (1)/(3) le (x)/(2) ...

    Text Solution

    |

  5. Find the range of values of x, which satisfy : - (1)/(3) le (x)/(2) ...

    Text Solution

    |

  6. Find the range of values of x, which satisfy : - (1)/(3) le (x)/(2) ...

    Text Solution

    |

  7. Give : A = {x : -8 lt 5x + 2 le 17,x in I} B= {x : - 2 le 7 + 3x lt ...

    Text Solution

    |

  8. Solve the following inequality and represent the solution set on the r...

    Text Solution

    |

  9. Given that x in I, solve the inequation and graph the solution on the ...

    Text Solution

    |

  10. Given : A = {x : 11x - 5 gt 7x + 3, x in R} and B = {x : 18x - 9 ge ...

    Text Solution

    |

  11. Find the set of values of x, satisfying 7x + 3 ge 3x - 5 and (x)/(4) -...

    Text Solution

    |

  12. Solve : (x)/(2) + 5 le (x)/(3) + 6, where x is a positive odd intete...

    Text Solution

    |

  13. Solve (2x + 3)/(3) ge (3x - 1)/(4), where x is a positive even integ...

    Text Solution

    |

  14. Solve the inequation : -2(1)/(2) + 2x le (4x)/(5) le (4)/(3) + 2x, x...

    Text Solution

    |

  15. Find the consecutive largest positive integers such that the sum of on...

    Text Solution

    |

  16. Solve the given inequation and graph the solution on the number line. ...

    Text Solution

    |

  17. Solve the inequation : 3z - 5 le z + 3 le 5z - 9, z in R.

    Text Solution

    |

  18. Solve the following inequation and represent the solution set on the n...

    Text Solution

    |

  19. Solve the following inequation and represent the solution set on the n...

    Text Solution

    |

  20. Solve the following inequation, write the solution set and represent i...

    Text Solution

    |