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Popular >

|2x-5|>= 2

Solution

∣ 2 x - 5 ∣ \geq 2

Solution

x \leq \frac{3}{2} or x \geq \frac{7}{2}

+2

Interval Notation

(- \infty, \frac{3}{2}] \cup [\frac{7}{2}, \infty)

Decimal Notation

x \leq 1.5 or x \geq 3.5

Solution steps

∣ 2 x - 5 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x - 5 \leq - 2 or 2 x - 5 \geq 2

2 x - 5 \leq - 2 or 2 x - 5 \geq 2

x \leq \frac{3}{2} or x \geq \frac{7}{2}

Popular Examples

simplify 2(8)^{2/3}simplify

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

4 (x + 1) - 3 = 4 x + 1

factor 121x^4y^4-1 factor

121 x^{4} y^{4} - 1

simplify 2(4/5)^0 simplify

2 (\frac{4}{5})^{0}

1/5 <= (1-5t)/9 < 5/9

\frac{1}{5} \leq \frac{1 - 5 t}{9} < \frac{5}{9}

Frequently Asked Questions (FAQ)

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