How do you solve and graph the compound inequality $- 1 < 2 x + 5 < 13$ $-1 < 2x + 5 < 13$ ?

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Answer 1 · 2015-04-29T12:52:07

You first try to get the $x$ $x$ 'free'

Subtract $5$ $5$ everywhere:
$- 6 < 2 x < 8$ $-6<2x<8$

Now divide everything by $2$ $2$
$- 3 < x < 4$ $-3 < x<4$

In the graph every $y$ $y$ -value between -1 and 13 is valid:
graph{2x+5 [-24.9, 26.47, -4.01, 21.63]}

How do you solve and graph the compound inequality -1 < 2x + 5 < 13−1<2x+5<13-1 < 2x + 5 < 13 ?