Representation of the Solution on a Number Line

Q.

Solve the inequation$-3+x\le \frac{8x}{3}+2\le \frac{14}{3}+2x,x\in I$ and represent the solution set on the number line.

Q.

Solve the following inequation, also write the solution set and represent it on the number line.$-3(x-7)\ge 15-7x>\frac{x+1}{3},x\in R$.

Q.

Solve the inequation:

$12+1\frac{5}{6}x\le 5+3x$

and x$\in$R.

1. $\{x:x\in Randx\ge 6\}$

2. $\{x:x\in Randx>6\}$

3. $\{x:x\in Randx>6\}$

4. $\{x:x\in Randx\le 6\}$

Q.

Solve the following equation, write down the solution set and represent the solution set on the real number line. $-2+10x\le 13x+10<24+10x,x\in Z$.

Q.

Solve the inequality $2x-5\le \frac{(4x-7)}{3}$

1. $x\in (-\infty ,4)$

2. $x\in (-\infty ,4]$

3. $x\in (-\infty ,8]$

4. $x\in (-\infty ,-4]$

Q.

Match the inequality to the graph of its solution

Column 1	Column 2
$c+7\le 3$
$c-3>1$
$c-7<3$

Q.

Solve the following inequation and graph the solution set on the number line: $x+\frac{2}{15}\le -\frac{8}{15},x\in R$.

Q.

Solve the inequation $2x-8\le 17-3x$ and find the maximum value of $x$. Also, represent the solution set on a number line.

Q.

Solve the following inequation and represent the solution set on the number line, $-2+10x\le 13x+10<24+10x,x\in \mathrm{\mathbb{Z}}$.

Q.

Solve the inequation $2x-3\ge 5$ and find the minimum value of $x$. Also, represent the solution set on the number line.

Q.

Solve the following inequation and write the solution set. Also represent the solution set on the number line $-\frac{x}{3}\le \frac{x}{2}-1\frac{1}{3}<\frac{1}{6},x\in R$.

Q.

$\text{If x}ϵZ,\text{solve the inequation}2+4x<2x-5\le 3x.\text{Also, represent its solution set on a number line.}$

1. 

2. 

3. None of these

4. 

Q. Write the expression for each of the following.
(a) $7$ more than $x$. .........
(b) $6$ less than $x$. ...........
(c) Exceeds $5$ by $x$. ......
(d) Two times a number plus $5$. ......
(e) Thirty more than seven times a number. ......
(f) Forty less than seventy times a number. ......

Q.

Which of the following graphs represent the solution of the inequation written below:

$2x-5\le 5x+4<11,xϵR$

1. 

2. 

3. 

4. None of these

Q.

Find the value of $x$ $3x-4<2$

1. x ∈ (–∞, – 4) ∪ (3, ∞)

2. x ∈ (–∞, – 4) ∪ [3, ∞)

3. x∈ [– 3, 1]

4. x∈ [– 4, 3]

Q.

The solution set for the given inequations $8<2x-4$ and $3x+1<46x\in R$ on the number line is ?

1. 

2. 

3. 

4. 

Q.

Which of the following graphs represent the solution of the inequation written below:

$2x-5\le 5x+4<11,xϵR$

1. None of these

2. 

3. 

4. 

Q.

Solve the following inequation and represent the solution set on the number line $4x-19<\frac{3x}{5}-2\le \frac{-2}{5}+x,\forall x\in R$

Q.

Solve the inequation 3 $\ge$ $\frac{(x-2)}{2}$ + $\frac{x}{3}$, x $\in$ N. Find the cardinality(number of elements) of the set representing all the possible values of x.

1. 10

2. 8

3. 4

4. 5

Q.

Solve the inequation: $\frac{x}{3}+5\le x+1$, where x $\in$ {4, 5, 6, 7}.

1. Both A and B

2. {-6, -7}

3. {4, 5}

4. {6, 7}

Q.

Solve the inequation $-8\frac{1}{2}<-\frac{1}{2}-4x\le 7\frac{1}{2}$, $x\in I$ and represent the solution set on the number line.

Q. Fill in the blanks to make the statements true.
______$\times \left(\frac{-2}{5}\right)=1$

Q.

Solve the equation. Check your solution.

$-8=1.3\mathrm{m}-2.1\mathrm{m}$

Q.

Solve the following inequation: $-3<x-2\le 9-2x$ , $xϵN$.

1. $-1<x\le \frac{11}{3}$
   

2. $-2<x\le \frac{11}{3}$
   

3. $-1<x\le \frac{10}{3}$
   

4. $1<x\le \frac{11}{3}$
   

Q.

Solve the following inequation and represent the solution set on the number line, $1-\frac{4}{25}\left(2x-1\right)<1,\forall x\in \mathrm{\mathbb{N}}$ and $x<5$.

Q.

For the graph given below , choose the correct inequation taking x as the variable

1. $x<2$

2. $x>2$

3. $x\le 2$

4. $x\ge 2$

Q. Find the value of the following expression, when $x=-1$.
$2x-7$.

Q.

Write the following statement in the form of equation:
$\frac{1}{5}ofanumberxaddedto5gives14.$

Q. $1001÷11of13=?$

1. $7$
2. $1183$
3. $847$
4. none of these

Q.

Solve the following inequation and represent the solution set on the number line, $-3<-\frac{1}{2}-\frac{2x}{3}\le \frac{5}{6},\forall x\in \mathrm{ℝ}$.