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Popular >

|1-7x|+2>= 7

Solution

∣ 1 - 7 x ∣ + 2 \geq 7

Solution

x \leq - \frac{4}{7} or x \geq \frac{6}{7}

+2

Interval Notation

(- \infty, - \frac{4}{7}] \cup [\frac{6}{7}, \infty)

Decimal Notation

x \leq - 0.57142 \dots or x \geq 0.85714 \dots

Solution steps

∣ 1 - 7 x ∣ + 2 \geq 7

Move

2

to the right side

∣ 1 - 7 x ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

1 - 7 x \leq - 5 or 1 - 7 x \geq 5

1 - 7 x \leq - 5 or 1 - 7 x \geq 5

x \leq - \frac{4}{7} or x \geq \frac{6}{7}

Popular Examples

(5(x-8))/4 >= (4x)/5-15

\frac{5 ( x - 8 )}{4} \geq \frac{4 x}{5} - 15

factor m^2-6m-7 factor

m^{2} - 6 m - 7

n - 14 > 98

∣ 4 x + 8 ∣ = 0

factor 5x^2-15xy-20y^2 factor

5 x^{2} - 15 x y - 20 y^{2}

Frequently Asked Questions (FAQ)

What is |1-7x|+2>= 7 ?
The solution to |1-7x|+2>= 7 is x<=-4/7 \lor x>= 6/7