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Popular >

|2-3x|+1>= 4

Solution

∣ 2 - 3 x ∣ + 1 \geq 4

Solution

x \leq - \frac{1}{3} or x \geq \frac{5}{3}

+2

Interval Notation

(- \infty, - \frac{1}{3}] \cup [\frac{5}{3}, \infty)

Decimal Notation

x \leq - 0.33333 \dots or x \geq 1.66666 \dots

Solution steps

∣ 2 - 3 x ∣ + 1 \geq 4

Move

1

to the right side

∣ 2 - 3 x ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - \frac{1}{3} or x \geq \frac{5}{3}

Popular Examples

5x-22>=-4(2-3x)

5 x - 22 \geq - 4 (2 - 3 x)

factor 2k^2+4k factor

2 k^{2} + 4 k

4 x - 0.8 = 4

(x+3)/(3-x)>= x/(x+1)

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

f(k)=(k^2-22k+121)/(k^2-121)

f (k) = \frac{k ^{2} - 22 k + 121}{k ^{2} - 121}

Frequently Asked Questions (FAQ)

What is |2-3x|+1>= 4 ?
The solution to |2-3x|+1>= 4 is x<=-1/3 \lor x>= 5/3