Ineed this asap giving 15 points, brains and 5 stars if correct. i need to know what is rational and irrational

A ⇒ rational

B ⇒ irrational

C ⇒ rational

D ⇒ rational

E ⇒ rational

F ⇒ irrational

G ⇒ rational

Step-by-step explanation:

* Lets explain what is the rational and irrational numbers

- A number is rational if we can write it as a fraction where the top

 number of the fraction (numerator) and bottom number (denominator)

 are both whole numbers.

- Ex: 0 , 2 , 13/7 , 0.245 , 0.33333 (repeated decimal)

- An irrational number is any number that is not rational.

- It is a number that cannot be written as a ratio of two integers

- An irrational number can be written as a decimal, but not as a fraction

- An irrational number has endless non-repeating digits to the right of

 the decimal point

- Ex: √5 , π , √2/4 , 5/√7

* Lets solve the problem

# A ⇒ 11/3

∵ 11/3 is a fraction and 11 , 3 are integers

∴ 11/3 is a rational number

* A ⇒ rational

# B ⇒ √48

∵ The simplest form of √48 is 4√3

∵ √3 is an irrational number

∴ 4√3 is also an irrational number

* B ⇒ irrational

# C ⇒ 6.25

∵ 6.25 an be written as 625/100 where 625 and 100 are integers

∴ 6.25 is rational number

* C ⇒ rational

# D ⇒ 0.01045

∵ 0.01045 an be written as 1045/100000 where 1045 and 100000

   are integers

∴ 0.01045 is rational number

* D ⇒ rational

# E ⇒ √(16/81)

∵ √16 = 4 and √81 = 9

∴ √(16/81) = √16/√81 = 4/9

∵ 4/9 is a fraction and 4 , 9 are integers

∴ √(16/81) is rational number

* E ⇒ rational

# F ⇒ √(3/16)

∵ √16 = 4

∴ √(3/16) = √3/√16 = √3/4

∵ √3 is an irrational number

∴ √3/4 is also irrational number

∴ √(3/16) is irrational number

* F ⇒ irrational

# G ⇒ 0.42 and a line over 42

∵ The line over 42 means 42 is repeated

∵ The repeated decimals are rational number

∴ 0.42 and line over 42 is rational number

* G ⇒ rational

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

step-by-step explanation: