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Solve the following absolute value inequality. Express your answer in interval notation.3∣5−y∣≤−6

Question

Solve the following absolute value inequality. Express your answer in interval notation.

3∣5−y∣≤−6

check_circleAnswer
Step 1
The given inequality is 35 y-6
Divide the inequality by 3 on both sides.
35- yl
-6
3
5- yl-2
It is known that, the absolute value cannot be less than 0, it is always greater
than 0 or equal to 0
Here, the absolute value 5- y is less than 0, which is in negative
Thus, there is no solution for yeR
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The given inequality is 35 y-6 Divide the inequality by 3 on both sides. 35- yl -6 3 5- yl-2 It is known that, the absolute value cannot be less than 0, it is always greater than 0 or equal to 0 Here, the absolute value 5- y is less than 0, which is in negative Thus, there is no solution for yeR

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