Download App

LINEAR INEQUALITIES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLINEAR INEQUALITIES1 Mark
MCQ
Choose the correct answer. If $|\text{x}+2|\leq9,$ then:
  • A
    $\text{x}\in(-7,11)$
  • ✓
    $\text{x}\in[-11, 7]$
  • C
    $\text{x}\in[-\infty,-7)\cup(11,\infty) $
  • D
    $\text{x}\in(-\infty,-7)\cup[11,\infty) $
✓

Answer

Correct option: B.
$\text{x}\in[-11, 7]$
Given that $|\text{x}+2|\leq9$
$\Rightarrow-9\leq\text{x}+2\leq9$
$\Rightarrow-9-2\leq\text{x}\leq9-2[|\text{x}\leq\text{a}|]$
$\Rightarrow-11\leq\text{x}\leq7$
$\Rightarrow\text{x}\in[-11, 7]$

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 INEQUALITIES→LINEAR INEQUALITIES — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

$\frac{{{{\cot }^2}15^\circ - 1}}{{{{\cot }^2}15^\circ + 1}} = $
→
If $\alpha ,\,\beta ,\,\gamma ,\,\delta $ are the smallest positive angles in ascending order of magnitude which have their sines equal to the positive quantity $k$ , then the value of $4\sin \frac{\alpha }{2} + 3\sin \frac{\beta }{2} + 2\sin \frac{\gamma }{2} + \sin \frac{\delta }{2}$ is equal to 
→
Three persons $P, Q$ and $R$ independently try to hit a target . If the probabilities of their hitting the target are $\frac{3}{4},\frac{1}{2}$ and $\frac{5}{8}$ respectively, then the probability that the target is hit by $P$ or $Q$ but not by $R$ is
→
If $\sqrt 3 \tan 2\theta + \sqrt 3 \tan 3\theta + \tan 2\theta \tan 3\theta = 1$, then the general value of $\theta $ is
→
$\mathop {\lim }\limits_{\theta  \to {0^ + }} \,{\left( {\sin \theta } \right)^{\left( {\sin \theta  - {{\sin }^2}\theta } \right)}}$ is
→
The parametric equations of a parabola are $x = t^2 + 1, y = 2t + 1$. The cartesian equation of its directrix is
→
Solve: $2\text{x}+1>3$
→
Let $n(A) = 3, \,n(B) = 3$ (where $n(S)$ denotes number of elements in set $S$), then number of subsets of $(A \times B)$ having odd number of elements, is-
→
The set of all real values of $\lambda $ for which exactly two common tangents can be drawn to the circles $x^2 + y^2 - 4x - 4y+ 6\, = 0$ and $x^2 + y^2 - 10x - 10y + \lambda \, = 0$ is the interval:
→
If the focus of the parabola is $(3, -4)$ and the directrix is $y -4 = 0,$ then the equation of the parabola is :-
→