Which of the following is equivalent to the pair of inequalities x + 2 > 10 and x - 4 <= 5 ?
Choices.
A) 2 < x < 16	B) 2 <= x < 4	C) 2 < x <= 8	D) 8 < x <= 9	E) 4 <= x <= 16
Solution:   Let’s isolate x in both inequalities, starting with x + 2 &gt; 10.   x + 2 &gt; 10   x &gt; 8   Next we isolate x in the inequality x – 4  5.   x – 4 &lt;= 5   x &lt;= 9   Bringing these two inequalities together we know:   8 &lt; x &lt;= 9   The answer is 8 &lt; x &lt;= 9.
<result>D</result>
Which of the following is equivalent to the pair of inequalities x + 2 > 10 and x - 4 <= 5 ?