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3 years ago

Solve each component inequality and graph the solution

Mathematics

1 answer:

lord [1]3 years ago

5 0

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 $(2,11]$ .

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