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Popular >

|9-x|<2-3x

Solution

∣ 9 - x ∣ < 2 - 3 x

Solution

x < - \frac{7}{2}

+2

Solution steps

∣ 9 - x ∣ < 2 - 3 x

Find positive and negative intervals

x \leq 9, x > 9

Solve the inequality for each interval

x < - \frac{7}{2} or No Solution

Merge Overlapping Intervals

x < - \frac{7}{2}

Popular Examples

∣ x - 1 ∣ + ∣ x - 2 ∣ > 3

|-x^2-9x-7|>= 1

- x^{2} - 9 x - 7 \geq 1

|x-2|>2+x-|3-x|

∣ x - 2 ∣ > 2 + x - ∣ 3 - x ∣

|x-1|+|x-2|+|x-3|<= 6

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ \leq 6

1/(|x-2|)>= 1/4

\frac{1}{∣ x - 2 ∣} \geq \frac{1}{4}

Frequently Asked Questions (FAQ)

What is |9-x|<2-3x ?
The solution to |9-x|<2-3x is x<-7/2