Types of Inequalities

In each of the following questions, two equations are given. You have to solve both the equation and find out the values of $x$ and $y$ and give the answer:

$\mathrm{I}$. $3x^2+13x+14=0$

$\mathrm{II}$. $y^2+7y+12=0$

If A denotes +, B denotes -€“ , C denotes * and D denotes /, then which of the following statements is true

If $x < 25 and 25 < b$ then:

Which of the following interchange of signs would make the given equation correct?
5 + 3 × 8 - 12 ÷ 4 = 3

If $a<b$ and $b<0$ then ?

Which one of the following responses is correct ?
$8 *5 *27 *3*16$

In the following question, '_' stands for any of the mathematical signs at different places, which are given as choices under each question. Select the choice with the correct sequence of signs which when substituted makes the question as correct equation.

$25 \_ 5 \_ 4 \_ 8 \_ 6 \_ 6$

If $a - 5 = b$ then,

If (-) stands for division, (+) for multiplication, (÷) for substraction and (×) for addition, which one of the following answers is correct to the given equation?

100 + 5 - 10 × 250 ÷ 200 = ?

Complete the third equation on the basis of a certain system followed in the first two equations.
If 4 - 4 = 17, 6 - 6 = 37, 2 - 2 = 5 then, 5 - 5 = ?

If 3×5×8 = 39, 4×9×2 = 44, then 6×3×9 = ?

By solving inequality $\left(2x + \frac{3}{4}\right) - \left(x + \frac{2}{2}\right) > 1 -\left(x + \frac{3}{2}\right)$, answer will be:

The following equations follow a common property. Find out the correct value to complete D:

A= 51 (714) 14;
B= 61 (915) 15;
C = 71 (1136) 16;
D= 81 (?) 17

By solving inequality $\frac{(x + 4)}{3}> (6 - 2x)$, answer will be ?

Which point lies in the solution set for the system?

$$\begin{gathered} 2y-x\ge -6 \\ 2y-3x<-6 \end{gathered}$$

By solving inequality$2\left(\frac{a}{2} + \frac{3}{4}\right) > 4\left(\frac{a}{4} - 6\right)$, answer will be

Which of the following statement is true for pair of linear equation?
$$\begin{gathered} \mathrm{I}. 7\mathrm{x}+3\mathrm{y}=8 \\ \mathrm{II}.3\mathrm{x}+2\mathrm{y}=12 \end{gathered}$$

1. $y>x$
2. $x>y$
3.$x\ge y$
4. $x=y$

In the following question, Δ stands for any of the mathematical signs at different places which are given as choices with the correct sequence of signs which when the substituted makes question as correct equation?

$75△15△1△2△4△2$

Complete the third equation on the basis of a certain system followed in the first two equations.

If 3 × 3 = 18, 4 × 4 = 32, 7 × 7 = 98 then, 6 × 6 = ?

If + means ÷, - means x, ÷ means -, x means +, what will be the value of
$8 + 6 ÷ 4 - 7 \times 3 ?$