Choose the correct answer. If |x - 1| > 5, then: - Vidyadip

MCQ

Choose the correct answer.
If |x - 1| > 5, then:

A
$\text{x}\in(-4, 6)$
B
$\text{x}\in[-4,6]$
C
$\text{x}\in[-\infty,-4)\cup(6,\infty) $
D
$\text{x}\in[-\infty,-4)\cup[6,\infty) $

✓

Answer

$\text{x}\in[-\infty,-4)\cup(6,\infty) $

Solution:

Given that |x - 1| > 5

⇒ (x - 1) < -5 or (x - 1) > 5

⇒ x < -5 + 1 or x > 5 + 1

⇒ x < -4 or x > 6

$\Rightarrow\text{x}\in[-\infty,-4)\cup(6,\infty) $

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Linear Inequalities→Linear Inequalities — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Let R be set of points inside a rectangle of sides a and b (a, b > 1) with two sides along the positive direction of x-axis and y-axis. Then

R = {(x, y) : 0 ≤ x ≤ a, 0 ≤ y ≤ b}.
R = {(x, y) : 0 ≤ x < a, 0 ≤ y ≤ b}.
R = {(x, y) : 0 ≤ x ≤ a, 0 < y < b}.
R = {(x, y) : 0 < x < a, 0 < y < b}.

Choose the correct answer.

If A and B are coefficient of xⁿ in the expansions of (1 + x)²ⁿ and (1 + x)^{2n – 1} respectively, then $\frac{\text{A}}{\text{B}}$ equals:

If $\sec\text{x}+\tan\text{x}=\text{k},\cos\text{x}=$

The weights in kilogram of 9 members in a school boxing team are 54, 59, x, 53, 73, 49, 50, 58, 45 If the average is 56 then x is:

Choose the correct answer.
If $\tan\theta=\frac{\text{a}}{\text{b}},$ then $\text{b}\cos2\theta+\text{a}\sin2\theta$ is equal to:

If the zx-plane divides the line segment joining (1, -1, 5) and (2, 3, 4) in the ratio p : 1 then p + 1 =

If $A$ and $B$ are non empty sets, then :

If the length of the tangent from the origin to the circle centered at (2, 3) is 2 then the equation of the circle is:

{ (A, B) : A² + B² = 1} on the sets has the following relation.

Choose the correct answer.
The number of 5-digit telephone numbers having atleast one of their digits repeated is.