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Popular >

|2x+4|<= 20

Solution

∣ 2 x + 4 ∣ \leq 20

Solution

- 12 \leq x \leq 8

+1

Interval Notation

[- 12, 8]

Solution steps

∣ 2 x + 4 ∣ \leq 20

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 20 \leq 2 x + 4 \leq 20

2 x + 4 \geq - 20 and 2 x + 4 \leq 20

x \geq - 12 and x \leq 8

Merge Overlapping Intervals

- 12 \leq x \leq 8

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Frequently Asked Questions (FAQ)

What is |2x+4|<= 20 ?
The solution to |2x+4|<= 20 is -12<= x<= 8