Home
Class 11
MATHS
If x<7 then a. -x<-7 b. -xlt=7 c. -x >...

If `x<7` then `a. -x<-7` b. ` -xlt=7` c. ` -x >-7` d. ` -xgeq-7`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LIMITS

    RD SHARMA ENGLISH|Exercise All Questions|302 Videos

  • MATHEMATICAL INDUCTION

    RD SHARMA ENGLISH|Exercise All Questions|101 Videos

Similar Questions

Explore conceptually related problems

The image of line 2x+y=1 in line x+y+2=0 is : (A) x+2y-7=0 (B) 2x+y-7=0 (C) x+2y+7=0 (D) 2x+y+7=0

Let f(x),xgeq0, be a non-negative continuous function, and let f(x)=int_0^xf(t)dt ,xgeq0, if for some c >0,f(x)lt=cF(x) for all xgeq0, then show that f(x)=0 for all xgeq0.

Suppose f(x)=(x+1)^2 for xgeq-1. If g(x) is the function whose graph is the reflection of the graph of f(x) with respect to the line y=x , then g(x) equal. (a) 1-sqrt(x)-1,xgeq0 (b) 1/((x+1)^2),x gt-1 (c) sqrt(x+1,)xgeq-1 (d) sqrt(x)-1,xgeq0

If the angle between the vectors x hat i+3 hat j-7 hat k\ a n d\ x hat i-x hat j+4 hat k acute, then x lies in the interval (-4,7) b. [-4,\ 7] c. R-[-4,7] d. R-(4,7)

Let f(x)={x^2-4x+3, ,x<3; x-4,xgeq3 a n d g(x)={x-3,x<4; x^2+2x+2,xgeq4 Describe the function f/g and find its domain.

If lim_(x to a) (x^(7) + a^(7))/(x + a) = 7 , find the value of a.

2x^2\X\ 3x y^2\X\ 4x^3y^5 is equal to: (a) 24 x^6y^6 (b) 24 x^6y^7 24 x^7y^6 (d) 24 x^7y^7

Suppose f(x)=(x+1)^2forxgeq-1. If g(x) is the function whose graph is the reflection of the graph of f(x) with respect to the line y=x , then g(x) equal. a-sqrt(x)-1,xgeq0 (b) 1/((x+1)^2),x >-1 sqrt(x+1,)xgeq-1 (d) sqrt(x)-1,xgeq0

If f(x) = x + 7 and g(x) = x - 7, x in R , then value of fog (7) is :

If "f"("x")=x+7 and g(x)=x-7,\ x\ \ R , find (fog)(7)

RD SHARMA ENGLISH-LINEAR INEQUATIONS-All Questions
  1. Solve the following systems of inequation graphically: \ 5x+ygeq10 ,\ ...

    Text Solution

    |

  2. Show that the solution set of the following system of linear inequa...

    Text Solution

    |

  3. Write the following set of the inequation (x^2)/(x-2)> 0.

    Text Solution

    |

  4. Write the solution set of the inequation x+1/xgeq2.

    Text Solution

    |

  5. Write the solution set of the equation |2-x|=x-2.

    Text Solution

    |

  6. Writhe the set of values of x satisfying |x-1|lt=3\ a n d\ |x-1|lt=1.

    Text Solution

    |

  7. The number of integral solutions of (x+2)/(x^2+1)>1/2 is (A) 4 (B) 5 ...

    Text Solution

    |

  8. Write the solution set of the inequation |x-1|geq|x-3|dot

    Text Solution

    |

  9. If x<7 then a. -x<-7 b. -xlt=7 c. -x >-7 d. -xgeq-7

    Text Solution

    |

  10. If -3x+17<-13 ,\ t h e n x in (10 ,oo) b. x in [10 ,oo) c. x in (-oo...

    Text Solution

    |

  11. Given that x , y\ a n d\ b are real numbers and x>y , b>0 then x/b<y/...

    Text Solution

    |

  12. If x is a real number and |x|<5, then X

    Text Solution

    |

  13. If x\ a n d\ a are real numbers such that a >0 and |x|> a , then (a) x...

    Text Solution

    |

  14. If |x-1|>5, then a. x in (-4,6) b. x in [-4,6] c. x in (-oo,-4)u...

    Text Solution

    |

  15. If |x+2|lt=9, then

    Text Solution

    |

  16. Represent the graph of following inequality |x|lt=3

    Text Solution

    |

  17. The linear inequality |x|lt=5 of which write the solution set and draw...

    Text Solution

    |

  18. The solution set of the inequation |x+2|lt=5 is (-7,5) b. [-7,3] c. [-...

    Text Solution

    |

  19. If |x+3|geq10 , then x in (-13 ,\ 7] b. x in (-oo,-13)uu(7,oo) c. x i...

    Text Solution

    |

  20. If (|x-2|)/(x-2)geq0, then

    Text Solution

    |