khi1la2f1qv
2021-11-16
Answered

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

Answered 2021-11-17
Author has **15** answers

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,

$x\in (0,\mathrm{\infty})$

The given compound inequality is,

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,

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