Using the given inequality we can calculate that this is equivalent to
(B) x ≤-1 or x ≥1
The given inequality is |8x| ≥ 2 .
Now we have to solve this inequality to find the range of the value of x.
|8x| ≥ 2
now we will try to remove the modulus function.
either 8x ≥ 2 ⇒ x ≥ 1/4
or, -8x ≥ 2 ⇒ x ≤ -1/4
Therefore the solution of the inequality is x ≤ -1/4 or x ≥ 1/4
Now of the given options the most plausible option or inequality that also satisfies this inequality is given by B) x ≤-1 or x ≥1
In mathematics, an inequality is a connection that makes an unequal comparison between two numbers and maybe other mathematical expressions. On the number line, size comparisons between two numbers are typically conducted.
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