Home
Class 11
MATHS
If 'x' is a real number and |x| lt 3, th...

If 'x' is a real number and `|x| lt 3`, then

A

`x ge 3`

B

`-3 lt x lt 3`

C

`x le -3`

D

`-3 le x le 3`

Text Solution

Verified by Experts

The correct Answer is:
B
Given, `|x|lt3`
`rArr -3 lt x lt 3 [ :'|x|lt a rArr -a lt x lt a]`
Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    NCERT EXEMPLAR|Exercise Long Answer Type Question|6 Videos

  • LIMITS AND DERIVATIVES

    NCERT EXEMPLAR|Exercise FILLERS|4 Videos

  • MATHEMATICAL REASONING

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

If x, y and b are real number and x lt y, b lt 0 , then

From the identity "sin" 3x = 3 "sin"x - 4"sin"^(3)x it follows that if x is real and |x| lt 1 , then

Write down the contrapositive of the following statements. (i) If x -y and y = 3, then x=3 . (ii) If n is a natural number then n is an integer. (iii) If all the three side of a triangle are equal, then the triangle is equilateral. (iv) If x and y are negative integers, then xy is positive. (v) If natural number n is divisible 6 by then is divisible by 2 and 3. (vi) If it snows, then the weather will be cold. (vii) If x is a real number such that 0 lt x lt 1 , then x^(2) lt 1

If a is real number such that 0 lt alt 1 , show that the function f(x) = a^(x) is strictly decreasing on R.

Write the negation of each of the following statements: p: All birds have wings. q: For every real number x, x^(2) gt x. r: There exists a real number x such that 0 lt x lt 1. s: For every real number x, either x gt 1 or x lt 1.

Let f(x)=a sin x+c , where a and c are real numbers and a>0. Then f(x)lt0, AA x in R if