# Math Help - integers

1. ## integers

For what integer value of x is 3x+5>11 and x-3<1?

2. Originally Posted by fabxx
For what integer value of x is 3x+5>11 and x-3<1?
$3x+5>11 \implies 3x>6 \implies x>2$

$x-3<1 \implies x<4$

The only integer that is greater than 2 and less than 4 is 3.

RonL

3. Thank you so much!