Tamil Nadu Board Solutions for Chapter: Algebra, Exercise 5: Example

Solve the following inequation and represent the solution on the number line:

$-4\le x\le 8, x$ is a natural number.

An artist can spend any amount between $₹80$ to $₹200$ on brushes. If the cost of each brush is $₹5$ and there are $6$ brushes in each packet, then how many packets of the brush can the artist buy?

The solutions of the inequation $3 \le p \le 6$ are (where $p$ is a natural number)

The solution of the inequation $5x+5\le 15$ are (where $x$ is a natural number).

The cost of one pen is $₹8$ and it is available in a sealed pack of $10$ pens. If Swetha has only $₹500$, how many packs of pens can she buy at the maximum?

The inequation that is represented on the number line as shown below is

Simplify $(2\mathrm{x}+5{)}^2$ using the identity $(\mathrm{a}+\mathrm{b}{)}^2={\mathrm{a}}^2+2\mathrm{ab}+{\mathrm{b}}^2$.

Simplify ${21}^2$ using the identity $(\mathrm{a}+\mathrm{b}{)}^2={\mathrm{a}}^2+2\mathrm{ab}+{\mathrm{b}}^2$.