Manipur Board Solutions for Chapter: Number System, Exercise 3: EXERCISE 1.3

Find $x$ if $\left|x-3\right|=\sqrt{2}$

Find $x$ if $\left|x-2\right|=x$

If $a^2+b^2=0$, prove that $a=0$ and $b=0$

Identify on the number line, the points $x$ satisfying $\left|x\right|\le 3$

Identify on the number line, the points $x$ satisfying $\left|x\right|<3$

Identify on the number line, the points $x$ satisfying $\left|x\right|\ge 3$

Identify on the number line, the points $x$ satisfying $\left|x\right|>3$

Identify on the number line, the points $x$ satisfying $\left|x-2\right|\le 3$