<span>THE GIVEN QUESTION;
7x -3(4x-8) < 6x +12 - 9x
THE GIVEN INTERVAL OF X IS FROM [4,8] SO THE VALUE OF X ={4,5,6,7,8}
THE GIVEN QUESTION CAN BE EVALUATED TO
7x - 12x+ 24 < 12 - 3x
-5x + 24 < 12 - 3x //USING BODMAS RULE
NOW SUBSTITUTING THE VALUE OF X:
1) X=4 SOL: 4<0
2) X=5 SOL: -1<-3
3) X=6 SOL: -6<-6
4) X=7 SOL: -11<-9
5) X=8 SOL: -16<-12
HENCE THE VALUE OF X=7,8 SATISFY THE GIVEN INEQUALITY</span>
Here's an example Its also call the 'ac' method:-
factor 2x^2 - 13x - 15
Multiply first coefficient by last number which is 2*-15 = -30
Now we need 2 factors of -30 which will when added give - 13:-
-15 and 2 looks good. So we can write:-
2x^2 - 13 x - 15
= 2x^2 + 2x - 15x - 15
factor by grouping first 2 and last 2 terms , we get:-
= 2x(x + 1) - 15(x + 1)
the x+1 is common so we have:-
(2x - 15)(x + 1) Answer
Hope this helps.
Answer:
Step-by-step explanation:
Convert the above mixed numbers to improper fractions through this simple approach: 3 × 10 + 1 /10 = 31/10. Similarly, 2 × 6 + 5 /6 = 17/6
Take the LCM of the denominators and simplify. LCM = 60. Thus, 60/10 = 6; 6 × 31 = 186. Also, 60/6 =10; 10×17 =170 all divide by 60:
Common factors between the numerator and denominator is 4, therefore 16/4 = 4 and 60/4 = 15.
Therefore the answer is 4/15 in simplest form.
