If three_fourth of a number is added to 14 gives result less than or equal to 20 find the number ,hence illustrate your answer on a number line
Answers
Step-by-step explanation:
Given :-
If three_fourth of a number is added to 14 gives result less than or equal to 20 .
To find :-
Find the number ,hence illustrate your answer on a number line ?
Solution :-
Let the number be X
Three fourth of the number
=> 3/4 of X
=> (3/4)×X
=> 3X/4
On 3/4th of the number is added to 14 then the result = (3X/4)+14
According to the given problem
If three_fourth of a number is added to 14 gives result less than or equal to 20 .
=> (3X/4)+14 ≤ 20
=> (3X+56)/4 ≤ 20
On multiplying with 4 both sides then
=> 4×(3X+56)/4 ≤ 20×4
=> 3X+56 ≤ 80
On Subtracting 56 both sides then
=> 3X+56-56 ≤ 80-56
=> 3X ≤ 24
On dividing with 3 both sides then
=> (3X/3) ≤ (24/3)
=> X ≤ 8
Answer :-
The possible values of X are 1,2,3,4,5,6,7,8 if X€N
The possible values of X are 0,1,2,3,4,5,6,7,8
if X€ W
The possible values of X = ....-1,0,1,2,3,4,5,6,7,8
If X€Z
Used formulae :-
N is the set of Natural numbers
N = {1,2,3,...}
W is the set of Whole numbers
W = { 0,1,2,3,...}
Z is the set of Integers
Z ={ ...-2,-1,0,1,2...}
Q is the set of Rational numbers
Q = {p/q , p, q€ Z, q≠0}
S is the set of irrational numbers
The collection of the rational numbers and irrational numbers is the set of Rational numbers
R = Q U S
