SOLUTION: Solve the compound inequality. Express your answer using inequality signs, and then write your answer using interval notation. (If the solution set is empty, enter EMPTY or ∅.)

Algebra ->  Linear-equations -> SOLUTION: Solve the compound inequality. Express your answer using inequality signs, and then write your answer using interval notation. (If the solution set is empty, enter EMPTY or ∅.)       Log On


   

Question 1174566: Solve the compound inequality. Express your answer using inequality signs, and then write your answer using interval notation. (If the solution set is empty, enter EMPTY or ∅.)
−9 < 8x + 7 ≤ 13
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

You start from this compound inequality


    -9 < 8x + 7 <= 13.


Subtract 7 from both sides and combine like terms.  You will get


    -16 < 8x < 6.


Divide by 8 both sides


    -2  < x <= 6%2F8 = 3%2F4.


It is your ANSWER:  the solution set is  -2 < x <= 3%2F4.

                    In the interval form,  (-2,3%2F4).

Solved, answered and explained.   //   And completed.

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    - Solving systems of linear inequalities in one unknown
    - Solving compound inequalities
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