Is this true or false?
|3x+5| < 17
so 3x +5 < 17
3x < 12
x < 4
or 3x +5 > -17
3x > -22
x > -22/7
( - 22/7 , 4)
So the given answer given is false.
so -17 < 3x + 5 < 17
so -22 < 3x < 12
so -22/3 < x < 4
so range is [−22/3,4]
hence true
the above answerer forgot to take -ve of 17 as there was mod
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Verified answer
|3x+5| < 17
so 3x +5 < 17
3x < 12
x < 4
or 3x +5 > -17
3x > -22
x > -22/7
( - 22/7 , 4)
So the given answer given is false.
|3x+5| < 17
so -17 < 3x + 5 < 17
so -22 < 3x < 12
so -22/3 < x < 4
so range is [−22/3,4]
hence true
the above answerer forgot to take -ve of 17 as there was mod