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Popular >

|4x+5|<7

Solution

∣ 4 x + 5 ∣ < 7

Solution

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

+2

Interval Notation

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

Decimal Notation

- 3 < x < 0.5

Solution steps

∣ 4 x + 5 ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < 4 x + 5 < 7

4 x + 5 > - 7 and 4 x + 5 < 7

x > - 3 and x < \frac{1}{2}

Merge Overlapping Intervals

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

Popular Examples

simplify 5sqrt(-16)+3sqrt(-81)simplify

5 - 16 + 3 - 81

simplify sqrt(432c^3d^2)simplify

432 c^{3} d^{2}

factor 3m^2-8m-3 factor

3 m^{2} - 8 m - 3

5 p + 5.4 = 22.9

factor x^5+6x^3 factor

x^{5} + 6 x^{3}

Frequently Asked Questions (FAQ)

What is |4x+5|<7 ?
The solution to |4x+5|<7 is -3<x< 1/2