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Popular >

|1-7x|+2>= 4

Solution

∣ 1 - 7 x ∣ + 2 \geq 4

Solution

x \leq - \frac{1}{7} or x \geq \frac{3}{7}

+2

Solution steps

∣ 1 - 7 x ∣ + 2 \geq 4

Move

2

to the right side

∣ 1 - 7 x ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

1 - 7 x \leq - 2 or 1 - 7 x \geq 2

1 - 7 x \leq - 2 or 1 - 7 x \geq 2

x \leq - \frac{1}{7} or x \geq \frac{3}{7}

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Frequently Asked Questions (FAQ)

What is |1-7x|+2>= 4 ?
The solution to |1-7x|+2>= 4 is x<=-1/7 \lor x>= 3/7