Which of the following is the solution to 3I x-1 I≥ 12?
1 answer:
The solution for the given inequality will be x≤ -3 or x≥ 5. Thus, the correct option is B.
<h3>What are inequalities?</h3>Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
For the given inequality the solution can be found as,
- When the value of x is negative,
3|x-1| ≥ 12
x-1 ≥ 4
x ≥ 5
- When the value of x is positive,
3|x-1| ≥ 12
- x + 1 ≥ 4
-x ≥ 3
x ≤ -3
Hence, the solution for the given inequality will be x≤ -3 or x≥ 5. Thus, the correct option is B.
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