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Popular >

|3x-7|>= 2

Solution

∣ 3 x - 7 ∣ \geq 2

Solution

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

+2

Interval Notation

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

Decimal Notation

x \leq 1.66666 \dots or x \geq 3

Solution steps

∣ 3 x - 7 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 x - 7 \leq - 2 or 3 x - 7 \geq 2

3 x - 7 \leq - 2 or 3 x - 7 \geq 2

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

Popular Examples

5 x \geq 7 x + 4

simplify (3.775)^{3/2}simplify

(3.775)^{\frac{3}{2}}

factor 6w^2-24w+36 factor

6 w^{2} - 24 w + 36

x^2+(x+8)^2=1600

x^{2} + (x + 8)^{2} = 1600

1/14 x+4>= 6(1-2/7 x)

\frac{1}{14} x + 4 \geq 6 (1 - \frac{2}{7} x)

Frequently Asked Questions (FAQ)

What is |3x-7|>= 2 ?
The solution to |3x-7|>= 2 is x<= 5/3 \lor x>= 3