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Popular >

|2x+4|<= 12

Solution

∣ 2 x + 4 ∣ \leq 12

Solution

- 8 \leq x \leq 4

+1

Solution steps

∣ 2 x + 4 ∣ \leq 12

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 12 \leq 2 x + 4 \leq 12

2 x + 4 \geq - 12 and 2 x + 4 \leq 12

x \geq - 8 and x \leq 4

Merge Overlapping Intervals

- 8 \leq x \leq 4

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Frequently Asked Questions (FAQ)

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