# Question #7b60e

Sep 13, 2017

$x > - 2$; $x \in \mathbb{Z}$

#### Explanation:

We have: $4 x + 3 < 6 x + 7$; $x \in \mathbb{Z}$

Subtracting $7$ from both sides of the inequality:

$R i g h t a r r o w 4 x - 4 < 6 x$

Subtracting $4 x$ from both sides:

$R i g h t a r r o w - 4 < 2 x$

Dividing through by $2$:

$R i g h t a r r o w - 2 < x$

$\therefore x > - 2$