12x-39≤9 AND-4x+3<-6

2 1/4 < x ≤ 4

Step-by-step explanation:

12x-39≤9 AND-4x+3<-6

Solve them separately and then put back together

12x-39≤9

Add 39 to each side

12x-39+39≤9+39

12x ≤48

Divide by 12

12x/12 ≤48/12

x ≤4

Now the other inequality

-4x+3<-6

Subtract 3 from each side

-4x+3-3<-6-3

-4x < - 9

Divide by - 4, remembering to flip the inequality

-4x/-4 > - 9/-4

x > 2 1/4

put back together

x > 2 1/4 and x ≤4

2 1/4 < x ≤ 4

2.25
Step-by-step explanation:

12x-39≤9 ⇒ 12x≤ 48 ⇒ x≤4

-4x+3<-6 ⇒ - 4x 9/4 = 2.25

2.25
or

x = (2.25, 4]