# Graph the solution set for each compound inequality, and express the solution se

Graph the solution set for each compound inequality, and express the solution sets in interval notation. $x>0$ and $x\succ 1$
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Antum1978
Step 1
The given compound inequality is,
$x>0\cdots \cdots \left(i\right)$
$x\succ 1\cdots \cdots \left(i\right)$
To find the solution of the compound inequality, we find the common set of solutions which satisfies both the inequality.
For the first inequality, the value of x should be greater than 0 and for the second inequality, the value of x should be -1.
If we take a value of x as greater 0. then it will satisfy both the equations.
Step 2
Hence, the graph of the two inequalities are as,

Step 3
Therefore, the required solution set is as,
$x\in \left(0,\mathrm{\infty }\right)$