Download App

Linear Inequations — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLinear Inequations1 Mark
MCQ
If $|\text{x}+3|\geq10,$ then:
  • A
    $\text{x}\in(-12,7]$
  • B
    $\text{x}\in(-13,7)$
  • C
    $\text{x}\in(\infty,-13)\cup(7,\infty)$
  • ✓
    $\text{x}\in(-\infty,-13]\cup[7,\infty)$
✓

Answer

Correct option: D.
$\text{x}\in(-\infty,-13]\cup[7,\infty)$
$|\text{x}+3|\geq10$
$\Rightarrow\text{x}+3\geq10\text{ or }\text{x}+3;\leq-10$
$\Rightarrow\text{x}\geq10-3\text{ or }\text{x}\leq-10-3$
$\Rightarrow\text{x}\geq7\ \text{or}\ \text{x}\leq-13$
$\Rightarrow\text{x}\in(-\infty,-13)\cup[7,\infty)$

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 "MCQ" from Linear Inequations→Linear Inequations — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

XOZ-plane divides the join of (2, 3, 1) and (6, 7, 1) in the ratio
→
Centre of hyperbola $9{x^2} - 16{y^2} + 18x + 32y - 151 = 0$ is
→
If equation of line is x + y = 2 then find the angle made by line with x-axis:
→
The sum of infinite terms of the following series $1 + \frac{4}{5} + \frac{7}{{{5^2}}} + \frac{{10}}{{{5^3}}} + .........$ will be
→
A rectangle is constructed in the complex plane with its sides parallel to the axes and its centre is situated at the origin. If one of the vertices of the rectangle is $a + ib\sqrt 3 $, then the area of the rectangle is
→
Which of the following has only one subset?
→
The equations of the lines through the point of intersection of the lines $x - y + 1 = 0$ and $2x - 3y + 5 = 0$ and whose distance from the point $(3, 2)$ is $\frac{7}{5},$ is
→
If $3\text{f(x)}+5\text{f}\Big(\frac{1}{\text{x}}\Big)=\frac{1}{\text{x}}-3$ for all non-zero x, then f(x) =
→
Given that x > 0, the sum $\sum\limits^\infty_{\text{n}=1}\Big(\frac{\text{x}}{\text{x}+1}\Big)^{\text{n}-1}$ equals:
→
If slope of a line is $\frac{2}{3}$ then find the slope of line perpendicular to it:
→