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Popular >

(|2+3x|)/2 >= 5

Solution

\frac{∣ 2 + 3 x ∣}{2} \geq 5

Solution

x \leq - 4 or x \geq \frac{8}{3}

+2

Interval Notation

(- \infty, - 4] \cup [\frac{8}{3}, \infty)

Decimal Notation

x \leq - 4 or x \geq 2.66666 \dots

Solution steps

\frac{∣ 2 + 3 x ∣}{2} \geq 5

Multiply both sides by

2

∣ 2 + 3 x ∣ \geq 10

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 + 3 x \leq - 10 or 2 + 3 x \geq 10

2 + 3 x \leq - 10 or 2 + 3 x \geq 10

x \leq - 4 or x \geq \frac{8}{3}

Popular Examples

4 x^{2} + 2 x - 9 = 0

\frac{4}{9}

x - 3 x^{2} \geq 0

factor 250x^4+128x factor

250 x^{4} + 128 x

- 3 + x < 37

Frequently Asked Questions (FAQ)

What is (|2+3x|)/2 >= 5 ?
The solution to (|2+3x|)/2 >= 5 is x<=-4\lor x>= 8/3