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Popular >

|5x-1|+2>= 9

Solution

∣ 5 x - 1 ∣ + 2 \geq 9

Solution

x \leq - \frac{6}{5} or x \geq \frac{8}{5}

+2

Interval Notation

(- \infty, - \frac{6}{5}] \cup [\frac{8}{5}, \infty)

Decimal Notation

x \leq - 1.2 or x \geq 1.6

Solution steps

∣ 5 x - 1 ∣ + 2 \geq 9

Move

2

to the right side

∣ 5 x - 1 ∣ \geq 7

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - \frac{6}{5} or x \geq \frac{8}{5}

Popular Examples

simplify 4-9 simplify

4 - 9

factor 27-48x^4 factor

27 - 48 x^{4}

722 - 6 x^{2} = 0

3 \geq \frac{n}{2}

4 (5 x - 4) \geq 12 x

Frequently Asked Questions (FAQ)

What is |5x-1|+2>= 9 ?
The solution to |5x-1|+2>= 9 is x<=-6/5 \lor x>= 8/5