Linear Inequations

Q. A number is as much greater than 35 as is less than 53. Find the number

Q.

2/3 of a number is less than the original number by 20.Then which is the number

Q. Find three consecutive natural number such that the sum of the first and second is 39 more than the third number.

Q. 2 less than twice a number is 8. Then what is the number

Q. Where would the number $\frac{7}{10}$ lie on the given number line?

1. W
2. Y
3. Z
4. X

Q. The difference of 2 complementary angles is 12. Find the measure of the angles.

Q. If $x+\frac{1}{x}=9$ and $x^2+\frac{1}{x^2}=5$. Find the value of $x-\frac{1}{x}$.

Q.

Write the following statement in inequality
2 added to thrice a number is greater than or equal to 15; Take the number as x

1. $2x+3>15$

2. $2x-3<15$

3. $3x+2\ge 15$

4. $3x+2\le 15$

Q.

A company manufactures cassettes. Its cost and revenue functions are C(x) = 26, 000 + 30x and R(x) = 43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realize some profit?

1. x < 2, 000

2. x > 2, 000

3. x ≥ 2, 000

4. x > 1, 000

Q. Solve the inequality: $5<4x-6$

Q. If $\frac{p}{q}=\frac{6}{5}$ find the value of the following ratio: $\frac{5p-6q}{3p+4q}$

1. 0
2. $\frac{9}{5}$
3. $\frac{2}{7}$
4. $\frac{4}{5}$

Q.

In the given inequation 4y $\ge$ 16 ; the value of y can be equal to 4 .

1. True

2. False

Q.

x - 3 > 5 is same as x > 8 .

1. True

2. False

Q.

Given:

$A=\{x:11x-5>7x+3,x\in R\}$ and

$B=\{x:18x-9\ge 15+12x,x\in R\}$.

Find the range of set $A\cap B$.

1. $\{x:x\in Randx\ge 2\}$

2. $\{x:x\in Randx>4\}$

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

4. $\{x:x\in Randx\ge 4\}$

Q. If $\frac{p}{q}=\frac{6}{5}$ then find the value of the ratio:$\frac{3p+4q}{3p-4q}$.

1. True
2. False

Q.

A number exceeds the other number by 12. If their sum is 72, find the numbers

Q.

Write the word sentence as an inequality.

A number $\mathrm{q}$ multiplied by $14$is greater than $-16$.

Q. $\frac{x-1}{2}-\frac{x+1}{3}=5-x$

1. $2$
2. $9$
3. $6$
4. $5$

Q. One-third of a number added to one-fifth gives 32. Find the number. [3 MARKS]

Q.

Write the word sentence as an inequality.

The sum of a number $n$ and $\frac{2}{3}$ is no less than $5\frac{1}{3}$.

Q.

Enter an inequality that represents the phrase the sum of $1$ and $y$ is greater than or equal to $4$