Question 1203797
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Solve the given inequality and write the solution set using interval notation. -9 < 2x+7 ≤ 19
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You are given a compound inequality

    -9 < 2x+7 ≤ 19.


Subtract  7  from all  3  parts of this compound inequality.  You will get an equivalent compound inequality

    -9 - 7 <  2x  <=  19 - 7,

or

    -16 < 2x <= 12.


Now divide by  2  all  3  parts the last compound inequality.  You will get an equivalent compound inequality

     -8 < x < = 6.


It is your answer: The solution to the original inequality is the interval (-8,6] of the number line.

Left endpoint is not included, while right endpoint is included to the solution set.
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Solved.