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Popular >

|2x-11|>= 3

Solution

∣ 2 x - 11 ∣ \geq 3

Solution

x \leq 4 or x \geq 7

+1

Interval Notation

(- \infty, 4] \cup [7, \infty)

Solution steps

∣ 2 x - 11 ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x - 11 \leq - 3 or 2 x - 11 \geq 3

2 x - 11 \leq - 3 or 2 x - 11 \geq 3

x \leq 4 or x \geq 7

Popular Examples

2/3 (x-7)= 3/4 (4x-5)

\frac{2}{3} (x - 7) = \frac{3}{4} (4 x - 5)

factor x(x+2)+(x+2)factor

x (x + 2) + (x + 2)

1.4 x + 6.1 = - 7.9

simplify 4/(sqrt(6)+\sqrt{2)}simplify

\frac{4}{6 + 2}

-14+2x+3=4x-13-7x

- 14 + 2 x + 3 = 4 x - 13 - 7 x

Frequently Asked Questions (FAQ)

What is |2x-11|>= 3 ?
The solution to |2x-11|>= 3 is x<= 4\lor x>= 7