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Popular >

|7x-1|+4>= 9

Solution

∣ 7 x - 1 ∣ + 4 \geq 9

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

∣ 7 x - 1 ∣ + 4 \geq 9

Move

4

to the right side

∣ 7 x - 1 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

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

Popular Examples

x + 5 \leq - 4

(x + 2) (x + 3) = 6

4 x^{2} - 12 x - 16 = 0

y^{2} - y = 6

- 7 d - 22 = 4 d

Frequently Asked Questions (FAQ)

What is |7x-1|+4>= 9 ?
The solution to |7x-1|+4>= 9 is x<=-4/7 \lor x>= 6/7