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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