How do you solve and graph the compound inequality $-2<=5 - x / 3<=2$ ?

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Answer 1 · 2015-05-13T05:07:02

(1) $-2<= 5 - x/3$ -> $x/3 <= 5 + 2 -> x/3 < 7 -> x <= 21$

(2) $5 - x/3 <= 2 -> x/3 >= 5 - 2 -> x/3 >= 3 -> x >= 9$

The solution set is the close interval [9, 21]

The 2 end points are included in the solution set.

-------------------|0--------------|9===========|21---------------

How do you solve and graph the compound inequality -2<=5 - x / 3<=2-2<=5 - x / 3<=2 ?