ICSE 10th - Linear Inequations MCQ Test

Solve : 2 $\le$  2x – 3  $\le$   5, x  $\epsilon$  R 

• 4  $\le$   x  $\ge$   2.5

• 2.5 $\le$  x  $\le$  4

• 5 $\le$  x  $\le$  4

• 4  $\ge$   x  $\ge$   5

Solve : x +  $\frac{1}{2}$   $\le$  5 – $\frac{x}{2}$  $\le$   $\frac{7}{2}$   , x  $\epsilon$   R

• x = 3

• x = 5

• x = 4

• x = 2

Given that x  $\epsilon$  I, solve the following inequation

3 $\ge\ \frac{x-4}{2}+\frac{x}{3}\ge2$  

• {4,5}

• {4, 3}

• {5, 6}

• {6, 7}

Solve the following inequation:
 $2x+3\ge18\ and\ 3x+1\le12$  

•  $x\ \ge\ 7.5\ and\ x\ \le\ 3.6$  

•  $x\ \le\ 7.5\ and\ x\ \ge\ 3.6$  

•  $x\ \ge\ 7.5\ and\ x\ \ge\ 3.6$  

•  $x\ \le\ 7.5\ and\ x\ \le\ 3.6$  

 $List\ the\ solution\ sets\ ofthefollowing\ inequations:$   $–3<x–2<9–2x,\ x\ \epsilon\ N$  

• {-1, 0, 1, 2, 3}

• {0, 1, 2, 3}

• {1, 2, 3, 4}

• {1, 2, 3}

 $Solve\$   $-\frac{x}{3}\le\frac{x}{2}–\ 1\frac{1}{3}<\frac{1}{6},\ x\ \epsilon\ R$  

•  $1.6\ \ge\ x\ \ge\ 3$  

•  $1.6\ \ge\ \ x\ <\ 3$  

•  $1.6\ \le\ x\ <\ 3$  

•  $1.6\ \le\ x\ \le\ 3$  

 $a\ and\ b\ are\ I^+such\ that\$  
 $–1\le a\le3\ and\ 2a–5b\ge15$  
 $List\ all\ the\ possible\ values\ of\ b$  

• b = {1, 2}

• b = empty set 

• b = {1}

• b = {2}

 $x\ and\ y\ are\ W,such\ that$  
 $1<x\le4\ and\ 2(x+3y)\le10$  
 $List\ all\ the\ possible\ values\ of\ y.$  

• y = 1, 0

• y = 0

• y = 1 

• y = null set 

 $List\ the\ solution\ set\ of\ the\ following\ inequation$  
 $\frac{-2}{3}<\frac{-x}{3}+1\le\frac{2}{3},\ x\ \epsilon\ R$  

•  $\left\{x:\ x\ \epsilon\ R\ and\ 1\ >x\ge5\right\}$  

•  $\left\{x:\ x\ \epsilon\ R\ and\ 5\ \le x<1\right\}$  

•  $\left\{x:\ x\ \epsilon\ R\ and\ 5\ >x>1\right\}$  

•  $\left\{x:\ x\ \epsilon\ R\ and\ 5\ >x\ge1\right\}$  

 $Find\ the\ smallest\ value\ of\ x\ for\ which:$  
 $x–3(2–x)<2(3x–1),\ when\$  
 $(i)x\ \epsilon\ W\ \ \ \ \ \ \ (ii)\ x\ \epsilon\ I\ \ \ \ \ \ (iii)\ x\ \epsilon\ N$  

•  $\left(i\right)\ x\ =\ 1,\ \ \ \ \ \left(ii\right)\ x=\ -1,\ \ \ \ \ \ \left(iii\right)\ x\ =\ 1$  

•  $\left(i\right)\ x\ =\ 0,\ \ \ \ \ \left(ii\right)\ x=\ -1,\ \ \ \ \ \ \left(iii\right)\ x\ =\ 1$  

•  $\left(i\right)\ x\ =\ 0,\ \ \ \ \ \left(ii\right)\ x=\ 1,\ \ \ \ \ \ \left(iii\right)\ x\ =-1$  

•  $\left(i\right)\ x\ =\ 0,\ \ \ \ \ \left(ii\right)\ x=\ -1,\ \ \ \ \ \ \left(iii\right)\ x\ =\ -1$