Download App

Linear Inequations — MATHS STD 8 — Question

ICSE BoardEnglish MediumSTD 8MATHSLinear Inequations4 Marks
Question
Solve the inequation $18 – 3 (2x – 5) > 12; x \in W.$
✓

Answer

$18-3(2 x-5)>12 ; x \in W$
$\Rightarrow 18-6 x+15>12$
$\Rightarrow 33-12>6 x$
$\Rightarrow 21>6 x$
$\Rightarrow 6 x<21$
$\Rightarrow \mathrm{x}<\frac{21}{6}+\frac{7}{2}=3 \frac{1}{2}$
But $x \in W, x=0,1,2,3$
$\therefore$ Solution set $=\{0,1,2,3\}$

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 "[4 marks sum]" from Linear Inequations→Linear Inequations — all question types→MATHS STD 8 question papers→ICSE Board STD 8 question papers→ICSE Board question paper generator→

Similar questions

A contractor undertakes to build a wall $1000\  m$ long in $50 $days. He employs $56$ men, but at the end of $27$ days, he finds that only $448\  m$ of the wall is built. How many extra men must the contractor employ so that the wall is completed in time?
→
Consider the following four algebraic expressions :
(A) $x^2+x-12$ $\quad$ (B) $x^2-9$ $\quad$ (C) $x^2-8 x+16$ $\quad$ (D) $x^2+6 x+9$
Q.1. Which of the following pairs of expressions do not have any common factor ?
(a) A and B $\quad$ (b) A and C $\quad$ (c) B and D $\quad$ (d) All of these
Q.2. ( $x-3$ ) is a factor of how many of the given expressions?
(a) None $\quad$ (b) One $\quad$ (c) Two $\quad$ (d) Three
Q.3. Expression A shares a common factor with which of the following expressions?
(a) $x^2-2 x-15$ $\quad$ (b) $x^2-9 x+20$ $\quad$ (c) $x^2+x-20$ $\quad$ (d) $x^2-16$
 Q.4. Expression C shares a common factor with which of the following expressions ?
(a) $x^2+2 x+8$ $\quad$ (b) $x^2-7 x+12$ $\quad$ (c) $x^2-x-20$ $\quad$ (d) $x^2+3 x-4$
→
Divide:$16 + 8x + x^6 − 8x^3 − 2x^4 + x^2$ by $x + 4 − x^3$
→
The following table shows the percentage of buyers of different brands of bathing soaps :
BrandABCDE
Percentage of buyers$20 \%$$35 \%$$25 \%$$15 \%$$5 \%$
Draw a pie-diagram to represent the above data.
→
Construct a frequency table for the following data :$ 6, 7, 5, 6, 8, 9, 5, 5, 6, 7, 8, 9, 8, 10, 10, 9, 8, 10, 5, 7, 6, 8.$
→
Find the square of $5-x+\frac{2}{x}$
→
Draw a line $MN = 5.8 \ cm$. Locate a point A which is $4.5 \ cm$ from $M$ and $5 \ cm$ from $N$. Through A draw a line parallel to line $MN.$
→
Solve: $\frac{3 x-2}{3}+\frac{2 x+3}{2}=x+\frac{7}{6}$
→
Divide : $\frac{1}{2} p^2 q^3-\frac{5}{8} p^3 q^2+\frac{1}{4} p^3 q^3$ by $-\frac{1}{4} p^2 q^2$
→
factorise :$16(5x + 4)^2 -9(3x - 2)^2$
→