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.