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Popular >

|-3x+4|-4<-1

Solution

∣ - 3 x + 4 ∣ - 4 < - 1

Solution

\frac{1}{3} < x < \frac{7}{3}

+2

Interval Notation

(\frac{1}{3}, \frac{7}{3})

Decimal Notation

0.33333 \dots < x < 2.33333 \dots

Solution steps

∣ - 3 x + 4 ∣ - 4 < - 1

Move

4

to the right side

∣ - 3 x + 4 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < - 3 x + 4 < 3

- 3 x + 4 > - 3 and - 3 x + 4 < 3

x < \frac{7}{3} and x > \frac{1}{3}

Merge Overlapping Intervals

\frac{1}{3} < x < \frac{7}{3}

Popular Examples

factor 4u^3+5u^2+8u+10 factor

4 u^{3} + 5 u^{2} + 8 u + 10

∣ x ∣ = x^{2}

factor 64y^3-125 factor

64 y^{3} - 125

45.28 = 19.83 + z

5 x^{2} + 6 x - 8 = 0

Frequently Asked Questions (FAQ)

What is |-3x+4|-4<-1 ?
The solution to |-3x+4|-4<-1 is 1/3 <x< 7/3