Solution of an Inequality

If $\mathrm{x}<-5$ and $\mathrm{x}\in \mathrm{w}$ then the solution set of the inequation is $\left\{-5, -6, -7, -8.....\right\}$.

$3\mathrm{x}+5\left(\mathrm{x}-1\right)\ge 4$ is an equation.

The solution of the inequation $\mathrm{x}+2<-1$ is:

Write the inequation of the statement: $7$ more than thrice $\mathrm{t}$ is always greater than $-1$.

Which of the following inequality has $\mathrm{k}<-2$ as solution?

Which of the following is the solution to the inequation: $5\mathrm{y}-7>18$?

Raakhee has a certain number of toffees. Her sister has double the number of toffees compared to Raakhee. If together they have $54$ toffees, then how many toffees does Raakhee have?

The numerator of the fraction is $3$ less than the denominator. If the numerator is decreased by $2$ and the denominator is increased by $1$, then the fraction becomes $\frac{3}{5}$. Find the fraction.

The sum of money with Mona and her sister is $₹95$. If Mona has $₹15$ more than her sister, the find the amount of each of them.

In a class test, $7$ more than twice the lowest score is the highest score. Find the lowest score of the class, if the highest score is $87$. 

The present age of the Anupam is one-third of his father. After $6$ years sum of their ages will be $60$ years. Find their ages $2$ years ago.

The difference between two numbers $42$. if one of them is twice the other, find the others.

When $2\frac{1}{2}$ is subtracted from a number and the difference is made $8$ times, the result is thrice the number itself. Find the number.

The length of the rectangle is thrice its breadth. If the perimeter of the rectangle is $72$, find the area of the reactnagle?

The sum of three consecutive multiples of $9$ is $459$. Find the numbers.

The sum of two numbers is $45$ and their ratio is $7:8$. Find the numbers.

Solve the following linear inequation in one variable and represent the solution on the number line.

$14<-7\left(2\mathrm{u}+1\right)<35$

Solve the following linear inequation in one variable and represent the solution on the number line.

$7<\left(\mathrm{k}+3\right)-2$

Solve the following linear inequation in one variable and represent the solution on the number line.

$8\mathrm{f}-1>-1$

Solve the following linear inequation in one variable and represent the solution on the number line.

$3-2\left(\mathrm{r}-4\right)>-1$