Question

12x−39≤9 AND−4x+3<−6, just solving for x please answer ASAP

Answer 1

Answer:

Solving for x in 12x − 39 ≤ 9 and −4x + 3 < −6 we get 2.25 < x ≤ 4

Solution:

Need to find the value of x which satisfies following two given expressions

12x − 39 ≤ 9      ------(1)

−4x + 3 < −6     ------ (2)

Lets first solve expression (1)

12x − 39 ≤ 9  

Adding 39 on both sides , we get

12x−39 + 39  ≤ 9  +39

=>12x ≤ 48

=> x  ≤ 48/12

=> x ≤ 4    

Now solving expression (2)

−4x+3<−6      

=> -4x < -6 – 3

=> -4x < -9  

=> 4x > 9

=> x > 9/4

=> x > 2.25

So from solution of expression (1) and (2) , we get x ≤ 4   and x > 2.25

Hence required value of x is 2.25 < x ≤ 4.