Sample QuestionsLinear Inequations questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Solve the following inequation and write the solution set:
$13 x-5<15 x+4<7 x+12, x \in R$
View full solution →Solve the following inequation and represent the solution set on the number line :
$2 x-5 \leq 5 x+4<11, x \in I$
View full solution →Solve the given inequation and graph the solution set on the number line :
$2 y-3 < y+1 \leq 4 y+7, y \in R$
View full solution →Solve the following inequation and write down the solution set:
$11 x-4<15 x+4 \leq 13 x+14, x \in W$
Represent the solution on a real number line.
View full solution →Solve the following inequation, write down the solution set and represent it on the real number line:
$-2+10 x \leq 13 x+10<24+10 x, x \in Z$
View full solution →Solve the following inequation, write the solution set and represent it on the number line:
$2 x-1 \geq x+\frac{7-x}{3}>2, x \in R .$
View full solution →Find the values of $x$ which satisfy the inequation:
$-2 \frac{5}{6}<\frac{1}{2}-\frac{2 x}{3} \leq 2, x \in W .$
Graph the solution set on the number line.
View full solution →Solve the inequation, write the solution set and represent it on the number line.
$\frac{-x}{3} \leq \frac{x}{2}-1 \frac{1}{3}<\frac{1}{6} ; x \in R$
View full solution →Solve the following inequation and represent the solution set on the number line:
$4 x-19<\frac{3 x}{5}-2 \leq \frac{-2}{5} x \in R$
View full solution →Solve the following inequation and represent the solution set on the number line:
$-3<\frac{1}{2}-\frac{2 x}{3} \leq \frac{5}{6} x \in R$
View full solution →Given $a>0, b>0, c>0$ and $d<0$. Then $a>b$ implies :
- A
$a d > b d$
- B
$a d=b d$
- C
$a d < b d$
- D
View full solution →If $8<5(x+1)-2 \leq 18, x \in R$, then the smallest integer value of $x$ is :
View full solution →Given $3 x-1 \leq x+5$. If $x \in N$, then the solution set is :
- A
$\{1,2,3\}$
- B
$\{1,2,3,4\}$
- C
$\{1,2\}$
- D
$\{0,1,2,3\}$
View full solution →If $5-3 x<11, x \in R$, then the solution set is :
- A
$\{x>-2, x \in R \}$
- B
$\{x \geq-2, x \in R \}$
- C
$\{x<2, x \in R \}$
- D
$\{x<-2, x \in R \}$
View full solution →If $2 x-5 \leq 5 x+4<11, x \in I$, then the smallest whole number for $x$ is :
View full solution →Assertion (A) : If $8<5(y+1)-2 \leq 18, y \in R$, then the smallest integer value of $y$ is 0.
Reason (R) : Adding or subtracting a negative value to each side of an inequation, reverses the inequality.
View full solution →Assertion (A) : The solution set of $x<6.5, x \in N$ is $\{1,2,3,4,5\}$
Reason (R) : The set of all those values of $x$ which satisfy the given inequation is called the solution set of the inequation.
View full solution →Assertion (A) : If $2 x-5 \leq 3 x+2$, then $x \geq-7$.
Reason (R) : Multiplying each side of an inequality by the same non-zero negative number, reverses the inequality.
View full solution →