R K Bansal Solutions for Exercise 1: CHAPTERWISE REVISION EXERCISE

If $(x-a)(x-b)<0,$then $x<a,$ and $x<b.$

If $a<0$ and $b<0$, then $(a+b{)}^2>0.$

State for each of the following statements whether it is true or false:

If $a$ and $b$ are any two integers such that $a>b,$ then $a^2>b^2$.

If $p=q+2,$ then $p>q.$

If $a$ and $b$ are two negative integers such that $a<b,$ then $\frac{1}{a}<\frac{1}{b}$.

Given $20-5x<5(x+8),$ find the smallest value of $x$ when: $x\in \mathrm{I}$.

Given $20-5x<5(x+8),$ find the smallest value of $x$ when: $x\in \mathrm{W}$.

Given $20-5x<5(x+8),$ find the smallest value of $x$ when: $x\in \mathrm{N}$.