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Popular >

|(2-p)/p |<= 2

Solution

\frac{2 - p}{p} \leq 2

Solution

p \leq - 2 or p \geq \frac{2}{3}

+2

Interval Notation

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

Decimal Notation

p \leq - 2 or p \geq 0.66666 \dots

Solution steps

\frac{2 - p}{p} \leq 2

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 2 \leq \frac{2 - p}{p} \leq 2

\frac{2 - p}{p} \geq - 2 and \frac{2 - p}{p} \leq 2

(p \leq - 2 or p > 0) and (p < 0 or p \geq \frac{2}{3})

Merge Overlapping Intervals

p \leq - 2 or p \geq \frac{2}{3}

Popular Examples

∣ 5 x - 10 ∣ = 15

(x^2)/4-x/1 = 5/4

\frac{x ^{2}}{4} - \frac{x}{1} = \frac{5}{4}

15 x + 28 = 27 x + 4

- x^{2} = 0

169 = (x - 7)^{2}

Frequently Asked Questions (FAQ)

What is |(2-p)/p |<= 2 ?
The solution to |(2-p)/p |<= 2 is p<=-2\lor p>= 2/3