Question

Solve each component inequality and graph the solution

Answer 1

Solution: The value of x after solving both components is $2$ or $(2,11]$.

Explanation:

From the first component it is clearly noticed that the value of x is greater than 2.

Simplify the second component.

$x-1\leq 10\\x\leq 11$

From the above inequality it is clearly noticed that the value of x is less than or equal to  11.

Solving both components we get $2$ and the graphical representation is shown in the figure.

The red portion shows the solutions of $x>2$, blue portion shows the solution of $x-1\leq 10$ and purple portion which combination of red and blue portion shows the solution of both inequalities.

Therefore, value of x after solving both components is $2$ or $(2,11]$.