Properties of absolute values

Q.

Prove that $|ab|=|a||b|$ for any numbers $a$ and $b$.

Q. For what value of n is $|n-1|+1$ equal to 0?

1. 0
2. 1
3. 2
4. There is no such value of n.

Q.

If $x$ is greater than $2$, then $|2-x|=$

Q. The output of modulus function is always non - negative real number.

1. True
2. False

Q. If $a=1$ and $|b|=3$, what are the possible values of (a + 3b)?

1. 8 and - 10
2. - 8 and 10
3. - 8 and - 10
4. 8 and 10

Q.

How do you solve $\left|x-6\right|=10$?

Q. If $|2x-3|=4-x$ , which of the following relations hold?

1. 2x - 3 = 4 - x
2. 2x - 3 = x - 4
3. Both relations hold
4. Neither relations hold

Q. If $b_1,b_2,b_3...$ form an A.P such that $b_1+b_4+b_7+....+b_{28}=220$, then the value of $b_1+b_2+b_3...+....+b_{28}$ equals

1. $616$
2. $308$
3. $2200$
4. $1232$

Q. If $f=\left\{\right(4,5),(5,6),(6,-4\left)\right\}$ and $g=\left\{\right(4,-4),(6,5),(8,5\left)\right\}$.
Then
$2f+4g$