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Popular >

|5x+1|>= 6

Solution

∣ 5 x + 1 ∣ \geq 6

Solution

x \leq - \frac{7}{5} or x \geq 1

+2

Interval Notation

(- \infty, - \frac{7}{5}] \cup [1, \infty)

Decimal Notation

x \leq - 1.4 or x \geq 1

Solution steps

∣ 5 x + 1 ∣ \geq 6

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

5 x + 1 \leq - 6 or 5 x + 1 \geq 6

5 x + 1 \leq - 6 or 5 x + 1 \geq 6

x \leq - \frac{7}{5} or x \geq 1

Popular Examples

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2 d^{4} - 32 f^{4}

simplify 5x^{-4}simplify

5 x^{- 4}

1/2 x-3>= 1/4 x+2

\frac{1}{2} x - 3 \geq \frac{1}{4} x + 2

\frac{x - 5}{4} \leq 5

factor 2m^2+10m+10n-2n^2 factor

2 m^{2} + 10 m + 10 n - 2 n^{2}

Frequently Asked Questions (FAQ)

What is |5x+1|>= 6 ?
The solution to |5x+1|>= 6 is x<=-7/5 \lor x>= 1