How do you solve $| d + 5 | > 2$ $|d+5|>2$ ?

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Answer 1 · 2018-05-04T00:16:50

$- 2 < d > - 7$ $-2 < d > -7$

$| d + 5 | > 2$ $abs(d + 5) > 2$

$d + 5 > 2 or d + 5 > - 2$ $d + 5 > 2 or d + 5 > - 2$

$d + 5 > 2$ $d + 5 > 2$

Subtract $5$ $5$ from both sides;

$d + 5 - 5 > 2 - 5$ $d + 5 - 5 > 2 - 5$

$d > - 3$ $d > -3$

Similarly..

$d + 5 > - 2$ $d + 5 > - 2$

Subtract $5$ $5$ from both sides;

$d + 5 - 5 > - 2 - 5$ $d + 5 - 5 > - 2 - 5$

$d = > - 7$ $d = > -7$

Therefore;

$- 2 < d > - 7$ $-2 < d > -7$

How do you solve |d+5|>2|d+5|>2?