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Popular >

|2x+3|>= 8

Solution

∣ 2 x + 3 ∣ \geq 8

Solution

x \leq - \frac{11}{2} or x \geq \frac{5}{2}

+2

Interval Notation

(- \infty, - \frac{11}{2}] \cup [\frac{5}{2}, \infty)

Decimal Notation

x \leq - 5.5 or x \geq 2.5

Solution steps

∣ 2 x + 3 ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 3 \leq - 8 or 2 x + 3 \geq 8

2 x + 3 \leq - 8 or 2 x + 3 \geq 8

x \leq - \frac{11}{2} or x \geq \frac{5}{2}

Popular Examples

join 2pi-(5pi)/4 join

2 π - \frac{5 π}{4}

∣ x + 3 ∣ \leq 5

- 5 x^{2} + 3 x - 1 = 0

simplify x^2*x^7 simplify

x^{2} \cdot x^{7}

simplify ((8/(9t))/(1/(3st))) s/4 simplify

(\frac{\frac{8}{9 t}}{\frac{1}{3 s t}}) \frac{s}{4}

Frequently Asked Questions (FAQ)

What is |2x+3|>= 8 ?
The solution to |2x+3|>= 8 is x<=-11/2 \lor x>= 5/2