Solution of Inequations

Q.

If the replacement set is the set of whole numbers, solve: $7-3x\ge \frac{-1}{2}$.

1. {6, 7, 8}
2. {2, 3, 4, 5}
3. {9, 10, 11}
4. {0, 1, 2}

Q.

Find the value of $x:0.5x+\frac{x}{3}=0.25x+7$

Q.

The sum of two numbers is fixed. Then its multiplication is maximum, when

1. Each number is half of the sum.

2. Each number is $\frac{1}{3}$ and $\frac{2}{3}$ respectively of the sum.

3. Each number is $\frac{1}{4}$ and $\frac{3}{4}$ respectively of the sum.

4. None of the above

Q.

Three numbers are in the ratio $3:4:6$ and their product is $1944$. the largest number is.......…

Q.

Solve the inequation:$\frac{5-2x}{3}$ $\le$ $\frac{x}{6}-5$, where x $\in$ N.

1. {1, 2, 3, 4 , 5, 6, 7 ……..}

2. {0, 1, 2 ……..}

3. {8, 9, 10 ……..}

4. {-8, -9, -10 ……..}

Q. Solve $:-2z-15\ge 11;xϵR$

1. $z\le 13$
2. $z\le -13$
3. $z\ge -13$
4. $z\ge 13$

Q.

Solve the following inequation:

$13x-5<15x+4<7x+12,x\in R$.

1. $\{x:x\in R\text{and}-4.5<x\le 1\}$
2. $\{x:x\in R\text{and}-4.5\le x<1\}$
3. $\{x:x\in R\text{and}-4.5\le x\le 1\}$
4. $\{x:x\in R\text{and}-4.5<x<1\}$

Q. If 2x + 16 < 0, then what is the value of x?

1. x < 8
2. x > 8
3. x > -8
4. x < -8

Q.

X+6=2

Q.

What is an example of complex conjugate?

Q. 1, 15x+9=20x-11
2, 6p+3/9=2p-4/2

Q. If $5x\ge 25$, and x is an integer, then which of the following is correct?

1. x = 1, 2, 3, 4, 5
2. x = 5, 6, 7, 8, 9, ...
3. x = 6, 7, 8, 9, ...
4. x = 1, 2, 3, 4, 5, ...

Q.

Let $n(A-B)=25+x$, $n(B-A)=2x$ and $n(A\cap B)=2x$. If n(A) = 2(n(B)) then 'X' is

1. 4

2. 5

3. 6

4. 7

Q. Which of the following is the solution of the inequation
$27\le 3x\le 48$? ($x$ is a natural number)

1. {9, 10, 11, 12, 13, 14, 15, 16}
2. {-9, -10, -11, -12, -13, -14, -15, -16}
3. {10, 11, 12, 13, 14, 15}
4. {9, 10, 11, 12, 13}

Q. If one worker earns ₹300 per day, how many workers can be employed within a monthly budget of ₹4.5 Lakh?
$\left[2\right]$

Q.

Which of the following is not equivalent inequation to -3x+1 > 4 ?

1. -3x > 3

2. x > -1

3. x< -1

4. -5x > 3 - 2x

Q. Solve
1. √81=7
2. √144=12

Q. Which of the following inequation represented on the number line as shown below?

1. -4 < x < 4
2. -3 < x < 4
3. -4 < x < 5
4. -3 < x < 5

Q. $Solve:6x+9<51$

1. $x>7$
2. $x<6$
3. $x<7$
4. $x>7$

Q. The solution set for the inequation 6x + 22 < 41, x $\in$ W is .

1. {0, 1, 2, 3}
2. {0, 1, 2, 3, 4}
3. {1, 2, 3}
4. {1, 2, 3, 4}

Q. Solve: $21+5y\ge 41$.

1. $y\ge 4$
2. $y>4$
3. $y\le 4$
4. $y<4$

Q. If 4 + 0.8x < 20, then the value of x is ____.

1. x < 20
2. x < 2
3. x > 20
4. x > 2

Q.

The solution set for the inequation -3 $\le$ x < 2, x $\in$ N can be represented as:

1. 

2. 

3. 

4. 

Q. The solution for the inequation 2x - 4 < 3x - 12 < x + 6, x $\in$ R is

1. -8 < x < 9
2. 8 < x < 9
3. -8 < x < 9
4. 8 < x < 18

Q. The range of values of x which satisfy $\frac{-1}{3}\le \frac{x}{2}-\frac{4}{3}<\frac{1}{6}$, where x ϵ R is .

1. $2\le x<3$
2. $2<x<3$
3. $2\le x\le 3$
4. $3\le x<2$

Q. Match the following inequations with their simplified forms.

1. x > 7
2. x > 4
3. x < 2
4. x < 3

Q. x-4x=4+3

Q.

Find the range of values of x which satisfies $-2\frac{2}{3}\le x+\frac{1}{3}<3\frac{1}{3},x\in R$.

1. $-3\le x<3$
2. $-3<x<3$
3. $-3<x\le 3$
4. $-3\le x\le 3$

Q.

Find the smallest value of x for which $5-2x<5\frac{1}{2}-\frac{5}{3}x$, where x is an integer.

1. -1
2. -1.5
3. 0
4. 1

Q. If x > 3, which of the following is correct?

1. x < 3
2. -x > -3
3. -x < -3
4. x < -3