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20 October, 23:07

12x-39≤9 AND-4x+3<-6

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Answers (2)
  1. 20 October, 23:24
    0
    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. 20 October, 23:33
    0
    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]
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