Tamil Nadu Board Solutions for Chapter: Basic Algebra, Exercise 3: Exercise

Solve $23x<100$ when $x$ is an integer.

Solve $-2x\ge 9$when $x$ is an integer.

Solve $-2x\ge 9$when $x$ is a natural number.

A manufacturer has $600$ litres of a $12$ percent solution of acid. How many litres of a $30$ percent acid solution must be added to it so that the acid content in the resulting mixture will be more than $15$ percent but less than $18$ percent?

Find all pairs of consecutive odd natural numbers both of which are larger than $10$ and their sum is less than $40$.

A model rocket is launched from the ground. The height $h$ reached by the rocket after $t$ seconds from lift off is given by $h\left(t\right)=-5t^2+100t,0\le t\le 20$ At what time the rocket is $495$ feet above the ground?

A plumber can be paid according to the following schemes: In the first scheme he will be paid rupees $500$ plus rupees $70$ per hour, and in the second scheme he will paid rupees $120$ per hour. If he works $n$ hours, then for what value of $n$ does the first scheme give better wages?

$A$ and $B$ are working on similar jobs but their annual salaries differ by more than Rs $6000$ If $B$ earns rupees $27000$ per month, then what are the possibilities of $A$'s salary per month?