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Popular >

|7x-2|+1>= 9

Solution

∣ 7 x - 2 ∣ + 1 \geq 9

Solution

x \leq - \frac{6}{7} or x \geq \frac{10}{7}

+2

Interval Notation

(- \infty, - \frac{6}{7}] \cup [\frac{10}{7}, \infty)

Decimal Notation

x \leq - 0.85714 \dots or x \geq 1.42857 \dots

Solution steps

∣ 7 x - 2 ∣ + 1 \geq 9

Move

1

to the right side

∣ 7 x - 2 ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

7 x - 2 \leq - 8 or 7 x - 2 \geq 8

7 x - 2 \leq - 8 or 7 x - 2 \geq 8

x \leq - \frac{6}{7} or x \geq \frac{10}{7}

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8 x < 96

\frac{x - 6}{4} \leq 4

Frequently Asked Questions (FAQ)

What is |7x-2|+1>= 9 ?
The solution to |7x-2|+1>= 9 is x<=-6/7 \lor x>= 10/7