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Popular >

|1-7x|+5>= 8

Solution

∣ 1 - 7 x ∣ + 5 \geq 8

Solution

x \leq - \frac{2}{7} or x \geq \frac{4}{7}

+2

Interval Notation

(- \infty, - \frac{2}{7}] \cup [\frac{4}{7}, \infty)

Decimal Notation

x \leq - 0.28571 \dots or x \geq 0.57142 \dots

Solution steps

∣ 1 - 7 x ∣ + 5 \geq 8

Move

5

to the right side

∣ 1 - 7 x ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

1 - 7 x \leq - 3 or 1 - 7 x \geq 3

1 - 7 x \leq - 3 or 1 - 7 x \geq 3

x \leq - \frac{2}{7} or x \geq \frac{4}{7}

Popular Examples

y^{2} - 10 y = - 14

f - 4 = 6 f + 26

9 < - 3 m < 24

expand (x+2)(x+3)expand

(x + 2) (x + 3)

factor rp-9r+9p-81 factor

r p - 9 r + 9 p - 81

Frequently Asked Questions (FAQ)

What is |1-7x|+5>= 8 ?
The solution to |1-7x|+5>= 8 is x<=-2/7 \lor x>= 4/7