Download App

Linear Inequations — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLinear Inequations3 Marks
Question
Solve the following system of equations in R. $-5<2\text{x}-3<5$
✓

Answer

Consider the first inequation, -5 < 2x - 3 2x - 3 > -5 2x > -5 + 3 2x > -2 x > -1 ...(i) Consider the second inequation, 2x - 3 < 5 2x < 5 + 3 2x < 8 x < 4 ...(ii) From (i) and (ii), (-1, 4) is the solution set of the simultaneous equations.

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 "(Each question 3 marks)" 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

Prove that: $4(\cos^310^\circ+\sin^320^\circ)=3(\cos10^\circ+\sin20^\circ)$
→
Given a G.P. with a = 729 and $7^{th}$ term 64, determine $S_7$ .
→
Find the coordinates of the foci, the vertices, the lengths of major and minor axes and the eccentricity of the ellipse $9x^2 + 4y^2 = 36.$
→
For any two sets A and B, show that the following statements are equevalent:
$\text{A}\subset\text{B}.$
→
Solve $21x^2- 28x + 10 = 0$
→
The function f is defined by $\begin{equation} f(x)=\left\{\begin{array}{ll} {1-x,} & {x<0} \\ {1} & {, x=0} \\ {x+1,} & {x>0} \end{array}\right. \end{equation}$
Draw the graph of f(x).
→
Find the values of the following expressions: $\text{i}+\text{i}^{2}+\text{i}^{3}+\text{i}^{4}$
→
Find the mean deviation from the median for the following data:
$x_i$ 15 21 27 30 35
$f_i$ 3 5 6 7 8
→
In a survey of 100 persons it was found that 28 read magazine A, 30 read magazine B, 42 read magazine C, 8 read magazines A and B, 10 read magazines A and C, 5 read magazines B and C and 3 read all the three magazines?
  1. How many read none of three magazines?
  2. How  many read magazine C only?
→
The $p^{th}, q^{th}$ and $r^{th}$ terms of an A.P. are a, b, c respectively. Show that $(q - r)a + (r - p)b + (p - q)c = 0$.
→