Manipulating absolute value equations

Q.

The solution sets of $8x=6\left(\mathrm{mod}14\right),x\in \mathrm{\mathbb{Z}}$, are

1. $\left[8\right]\cup \left[6\right]$

2. $\left[8\right]\cup \left[14\right]$

3. $\left[6\right]\cup \left[13\right]$

4. $\left[8\right]\cup \left[6\right]\cup \left[13\right]$

Q.

The solution of the equation $\mathrm{ax}+\mathrm{b}=0$ is

1. $\mathrm{x}=\frac{\mathrm{a}}{\mathrm{b}}$

2. $\mathrm{x}=-\mathrm{b}$

3. $\mathrm{x}=-\frac{\mathrm{b}}{\mathrm{a}}$

4. $\mathrm{x}=\frac{\mathrm{b}}{\mathrm{a}}$

Q. If $|x+3y|=5$ and $|y|=4$ x and y are real numbers. Which of the following can be possible value of x.

1. - 1 or - 12
2. - 7 or 17
3. - 7 or -17
4. 10 or 12

Q. Solve for $|2x+3|+x=10$, 'x' is a real number

1. $-7or\frac{13}{3}$
2. $-13or\frac{7}{3}$
3. $13or\frac{7}{3}$
4. $7or-\frac{13}{5}$

Q. Solve the absolute value equation $4|2x-1|-2=10$

1. $-2or-1$
2. $2or-1$
3. $2or1$
4. $-2or1$

Q. James have some money in his wallet, but he does not know the exact amount of money he has. When Alice asks him, how much money he has, he says ''I have $70\$$ give or take $15\$$''. What is the least amount of money James can have?

1. 65
2. 55
3. 75
4. 85

Q. For what value of x is the statement $|x-1|=1$ true ?

1. 2
2. 0
3. Either of these values
4. None of these values

Q. Solve the absolute value equation $|5x+20|=80$

1. 12 or 20
2. -12 or -20
3. 12 or -20
4. -12 or 20

Q. What are the possible values of x, satisfying the equation
$|4x+6|+2=2x+3$?

1. $-\frac{5}{2}$ and $\frac{7}{6}$
2. $-\frac{5}{2}$ and $-\frac{6}{7}$
3. $\frac{5}{2}$ and $\frac{6}{7}$
4. $-\frac{5}{2}$ and $\frac{-7}{6}$

Q.

Solve the following

$-2(x+3)=5$

Q.

Solve: $2x-10=-12$

Q. Solve the equation $|3x|=x-21$

1. 5.25 or -10.5
2. -5.25 or 10.5
3. 5.25 or 10.5
4. -5.25 or -10.5

Q. Solve the following inequality:
$x-17⩾\frac{60}{x}$

Q. Solve |x + 2| = 7

1. - 9
2. 5
3. Neither
4. Both

Q. Solve the inequalities
$2(x-1)<x+5,3(x+2)>2-x$

Q. Solve $x+5>4x-10$, when $x\in R$

Q. $|3x-1|=2$
For what possible values of x, is the above equation satisfied?

1. $\frac{3}{2}$ and $-1$
2. $-\frac{3}{2}$ and $1$
3. $\frac{1}{3}$ and $-1$
4. $-\frac{1}{3}$ and $1$

Q. For which value of x is $|2x+3|=8$?

1. - 5.5
2. Both
3. Neither
4. 2.5

Q.

Solve the inequation $5\left(x-4\right)+\frac{7x}{3}<2$, where $x\in N$

Q. If $A=\{x|-1\le x\le 1\}=B,$ then find out which function is one -one , into or one-one onto defined from A to B
$f\left(x\right)=\frac{x}{2}$

Q. Solve the following inequality:
$\frac{7}{(x-2)(x-3)}+\frac{9}{x-3}+1<0$

Q. If x means $-,+$ means $÷,-$ means x and $÷$ means $+$, then $19-7÷150+30\times 90=?$

1. $50$
2. $38$
3. $48$
4. $40$