$\begin{array}{1 1} (0,0) \\ (0,\infty ) \\ (1,1) \\ (-2, \infty )\end{array}$

- Same Quantity can be added (a subtracted ) to (from ) both sides of the inequality with out changing the sign of the in equality.
- Same positive quantities can be multiplied or divided to both side of the in equality with out changing the sign of the inequality.
- If same negative quantity is multiplied or divided to both sides of the inequality is reversed i.e $ '>'$ sign changes to $'<' $ and $'<'$ changes $'>'$ .

The given inequality is $3x+8 > 2$

Subtracting 8 from both sides,

=> $3x+8 -8 > 2-8$

=> $ 3x> -6$

Dividing by positive number 3 on both sides,

$=> x \geq -2$

Step 2:

Integer greater than -2 are $-1,0,1,2.....$

The solution set is $\{ -1,0,1,2,.\}$

Step 3:

when x is a real number all real numbers greater than -2 satisfy the inequality .

The solution set is $x \in (-2, \infty)$

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