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Popular >

|5x+15|+2>= 3

Solution

∣ 5 x + 15 ∣ + 2 \geq 3

Solution

x \leq - \frac{16}{5} or x \geq - \frac{14}{5}

+2

Interval Notation

(- \infty, - \frac{16}{5}] \cup [- \frac{14}{5}, \infty)

Decimal Notation

x \leq - 3.2 or x \geq - 2.8

Solution steps

∣ 5 x + 15 ∣ + 2 \geq 3

Move

2

to the right side

∣ 5 x + 15 ∣ \geq 1

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

5 x + 15 \leq - 1 or 5 x + 15 \geq 1

5 x + 15 \leq - 1 or 5 x + 15 \geq 1

x \leq - \frac{16}{5} or x \geq - \frac{14}{5}

Popular Examples

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e^{4 l n (2)}

- 6 < 0

simplify (5!)/(2!3!)simplify

\frac{5 !}{2 ! 3 !}

X^{2} - 7 X + 3 = 0

- 9 = 2 x + 5

Frequently Asked Questions (FAQ)

What is |5x+15|+2>= 3 ?
The solution to |5x+15|+2>= 3 is x<=-16/5 \lor x>=-14/5