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Popular >

|4Y-4|+4<= 16

Solution

∣ 4 Y - 4 ∣ + 4 \leq 16

Solution

- 2 \leq Y \leq 4

+1

Interval Notation

[- 2, 4]

Solution steps

∣ 4 Y - 4 ∣ + 4 \leq 16

Move

4

to the right side

∣ 4 Y - 4 ∣ \leq 12

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 12 \leq 4 Y - 4 \leq 12

4 Y - 4 \geq - 12 and 4 Y - 4 \leq 12

Y \geq - 2 and Y \leq 4

Merge Overlapping Intervals

- 2 \leq Y \leq 4

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Frequently Asked Questions (FAQ)

What is |4Y-4|+4<= 16 ?
The solution to |4Y-4|+4<= 16 is -2<= Y<= 4