Effect of Multiplication in an Inequation

Q.

If $r$ is a real number that $\left|r\right|<1$ and if $a=5\left(1-r\right)$, then

1. $0<a<5$

2. $-5<a<5$

3. $0<a<10$

4. $-10<a<10$

Q.

In a party my friends start eating a round piece of pizza. They eat in such a way that after each time they have pizza, the quantity of pizza reduces by half. What type of decrease is this?

1. Compound

2. Simple

3. Cannot be determined

4. None of These

Q. If a = − 9 and b = − 6, show that (a−b) ≠ (b−a).

Q.

If each term of an inequation is multiplied by the same negative numbers, the sign of the inequality reverses

1. True

2. False

Q.

If an inequality is multiplied/divided by a negative number, then the inequality sign reverses.

1. False

2. True

Q.

If 2x > 16; then which of the following statement holds true for the given inequation.

1. $2x\times (-5)<16\times (-5)$

2. $2x\times (-5)>16\times (-5)$

3. $2x\times (-5)\le 16\times (-5)$

4. $2x\times (-5)\ge 16\times (-5)$

Q. Multiplying or Dividing both the sides of an inequality by a negative number flips the inequality sign.

1. False
2. True

Q.

Select the statements that are true.

1. (-x)y = x(-y)

2. (-x)y = -(xy)

3. x(-y) = -(xy)

4. x(-y) = (xy)

Q. By what number should we multiply $\frac{-1}{6}$ so that the product may be $\frac{-23}{9}$?

Q.

Given that $-x>10$ then $x<-10$.

1. True

2. False

Q. If A : B = 5 : 8 and B : C = 16 : 25, find A : C.

Q.

Given that - x < 3 ; which of the following represents the same inequation?

1. x < 3

2. x > -3

3. x < -3

4. x > 3