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Popular >

|x|>2x+7

Solution

∣ x ∣ > 2 x + 7

Solution

x < - \frac{7}{3}

+2

Interval Notation

(- \infty, - \frac{7}{3})

Decimal Notation

x < - 2.33333 \dots

Solution steps

∣ x ∣ > 2 x + 7

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x < - \frac{7}{3} or No Solution

Merge Overlapping Intervals

x < - \frac{7}{3}

Popular Examples

|(3-5)/((2x-6))|<= 7

\frac{3 - 5}{( 2 x - 6 )} \leq 7

∣ x - 1 ∣ + ∣ x - 3 ∣ > 2

|((x-2))/((x+4))|<= ((x+3))/((x-6))

\frac{( x - 2 )}{( x + 4 )} \leq \frac{( x + 3 )}{( x - 6 )}

|x+3|+|x-1|<|6-3x|

∣ x + 3 ∣ + ∣ x - 1 ∣ < ∣ 6 - 3 x ∣

(|x^2-1|)/(|x^2+x+1|)<1

\frac{x ^{2} - 1}{∣ x ^{2} + x + 1 ∣} < 1

Frequently Asked Questions (FAQ)

What is |x|>2x+7 ?
The solution to |x|>2x+7 is x<-7/3