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Popular >

|2x+3|>= 19

Solution

∣ 2 x + 3 ∣ \geq 19

Solution

x \leq - 11 or x \geq 8

+1

Interval Notation

(- \infty, - 11] \cup [8, \infty)

Solution steps

∣ 2 x + 3 ∣ \geq 19

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 3 \leq - 19 or 2 x + 3 \geq 19

2 x + 3 \leq - 19 or 2 x + 3 \geq 19

x \leq - 11 or x \geq 8

Popular Examples

x^2+(5x+19)^2=(5x+20)^2

x^{2} + (5 x + 19)^{2} = (5 x + 20)^{2}

factor 2x^3-9x^2+14x-5 factor

2 x^{3} - 9 x^{2} + 14 x - 5

simplify i^{34}simplify

i^{34}

simplify ((k+1)(3(k+1)-5))/2 simplify

\frac{( k + 1 ) ( 3 ( k + 1 ) - 5 )}{2}

\frac{2}{3} w = \frac{5}{6}

Frequently Asked Questions (FAQ)

What is |2x+3|>= 19 ?
The solution to |2x+3|>= 19 is x<=-11\lor x>= 8