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Popular >

|4x+5|-13<-4

Solution

∣ 4 x + 5 ∣ - 13 < - 4

Solution

- \frac{7}{2} < x < 1

+2

Interval Notation

(- \frac{7}{2}, 1)

Decimal Notation

- 3.5 < x < 1

Solution steps

∣ 4 x + 5 ∣ - 13 < - 4

Move

13

to the right side

∣ 4 x + 5 ∣ < 9

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 9 < 4 x + 5 < 9

4 x + 5 > - 9 and 4 x + 5 < 9

x > - \frac{7}{2} and x < 1

Merge Overlapping Intervals

- \frac{7}{2} < x < 1

Popular Examples

factor-2k-k^3-3k^2 factor

- 2 k - k^{3} - 3 k^{2}

x^{4} - 16 = 0

7+3t<= 2(t+3)-2(-1-t)

7 + 3 t \leq 2 (t + 3) - 2 (- 1 - t)

v^{2} = - 49

simplify 1+1/(1+sqrt(2))simplify

1 + \frac{1}{1 + 2}

Frequently Asked Questions (FAQ)

What is |4x+5|-13<-4 ?
The solution to |4x+5|-13<-4 is -7/2 <x<1