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Popular >

|4x+6|<8

Solution

∣ 4 x + 6 ∣ < 8

Solution

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

+2

Interval Notation

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

Decimal Notation

- 3.5 < x < 0.5

Solution steps

∣ 4 x + 6 ∣ < 8

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 8 < 4 x + 6 < 8

4 x + 6 > - 8 and 4 x + 6 < 8

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

Merge Overlapping Intervals

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

Popular Examples

6 x = 2

∣ 10 x + 15 ∣ \geq 105

simplify (8x^5y^{17})/(16x^{36)y^8}simplify

\frac{8 x ^{5} y ^{17}}{16 x ^{36} y ^{8}}

k^{2} = 4

simplify-(7xy)/(3x)+(4y^2)/(2y)simplify

- \frac{7 x y}{3 x} + \frac{4 y ^{2}}{2 y}

Frequently Asked Questions (FAQ)

What is |4x+6|<8 ?
The solution to |4x+6|<8 is -7/2 <x< 1/2