The largest integer in the set \left\\{x \epsilon R: \mid x - 2 \mid < 5\right\\} is

Question 89

The largest integer in the set $$\left\{x \epsilon R: \mid x - 2 \mid < 5\right\}$$ is

Solution

Given, $$\mid x-2\mid<5$$

$$\Rightarrow$$ $$-5<x-2<5$$

$$\Rightarrow$$ $$-3<x<7$$

The values of $$x$$ would range from -2 to +6 to satisfy the given condition.

$$\therefore\ $$The largest integer of the set = 6

Hence, the correct answer is Option A

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