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How do you solve #| 2y - 9 | > -5#?

1 Answer

May 21, 2016

#y in (2,7)#

Explanation:

Ok here modulus is all over like #|\a|>b#

We can say #-b##>#a#>b#

So in this case,

#|\2y-9 |##>##(-5)#

#5>2y-9>(-5)#
**

Part 1
**
#5>2y-9#
#0>2y-14#
#0>y-7#
#7>y#

**

Part 2

**
#2y-9>(-5)#
#2y-4>0#
#y-2>0#
#y>2#
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