Home
Class 11
MATHS
If xlt 5, then...

If ` xlt 5`, then

A

`-x lt -5`

B

`-x lt -5`

C

`-x gt -5`

D

`-x ge -5`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the inequality \( x < 5 \) and determine which option is correct, we can follow these steps: ### Step 1: Understand the given inequality We start with the inequality: \[ x < 5 \] ### Step 2: Multiply both sides by -1 To change \( x \) into \(-x\), we multiply both sides of the inequality by -1. Remember that when we multiply or divide both sides of an inequality by a negative number, we must reverse the inequality sign. So, multiplying both sides by -1 gives us: \[ -x > -5 \] ### Step 3: Interpret the new inequality Now we have the inequality: \[ -x > -5 \] This means that \(-x\) is greater than \(-5\). ### Step 4: Identify the correct option Now, based on the transformed inequality \(-x > -5\), we can look for the correct option among the provided choices. The correct option will be the one that represents the inequality \(-x > -5\). ### Conclusion The solution indicates that the correct option is the one that corresponds to the inequality \(-x > -5\). ---
To solve the inequality \( x < 5 \) and determine which option is correct, we can follow these steps: ### Step 1: Understand the given inequality We start with the inequality: \[ x < 5 \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Question|6 Videos

  • LIMITS AND DERIVATIVES

    NCERT EXEMPLAR ENGLISH|Exercise FILLERS|4 Videos

  • MATHEMATICAL REASONING

    NCERT EXEMPLAR ENGLISH|Exercise OBJECTIVE TYPE QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

If xlt0 , then value of tan^(-1)(x)+tan^(-1)(1/x) is equal to

If 0ltlog_(e)xltsqrt(x) for all xlt1, then find the value of lim_(xtooo) (log_(e)x)/(x).

Knowledge Check

  • If 0lexle360^(@), tan xlt0 and cos x tanx gt0 , then which of the following is a possible value for x?

    A
    `30^(@)`
    B
    `150^(@)`
    C
    `210^(@)`
    D
    `330^(@)`

    • Similar Questions

    Explore conceptually related problems

    Find the value of the constant k so that the given function is continuous at the indicated point: f(x)={k x+1,\ \ \ if\ xlt=5 3x-5,\ \ \ if\ x >5 at x=5

    Which of the following is a null set? {x:x in Z and (-1)/(2) lt x lt (9)/(2)} {x:x in N andx-4 le 15} {x:x in N, xlt 5 and x gt 8} {x:x in N and x^(2) lt 40}

    For 2ltxlt4 , find the value of |x|dot For -3lt=xlt=-1 , find the value of |x|dot For -3lt=x<1 , find the value of |x|dot For -5ltxlt7 , find the value of |x-2|dot For 1lt=xlt=5 , find the value of |2x-7|dot

    The objective function Z=4x+3y can be maximized subjected to the constraints 3x+4ylt=24 ,\ 8x+6ylt=48\ ,\ xlt=5,\ ylt=6; x ,\ ygeq0 a. at only one point b. at two points only c. at an infinite number of points d. none of these

    if f(x)={x^3+x^2,for0lt=xlt=2x+2,for2

    If A={x:x in N and xlt6(1)/(4)} and B={x: x in N and x^(2)le5) the number of subsets of set Axx(AcapB) which contains exactly 3 elements is:

    f(x)={cos(pix)/2,x >0, x+a ,xlt=0 Find the values of a if x=0 is a point of maxima.

    Home
    Profile