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Popular >

|2x+6|<3

Solution

∣ 2 x + 6 ∣ < 3

Solution

- \frac{9}{2} < x < - \frac{3}{2}

+2

Interval Notation

(- \frac{9}{2}, - \frac{3}{2})

Decimal Notation

- 4.5 < x < - 1.5

Solution steps

∣ 2 x + 6 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < 2 x + 6 < 3

2 x + 6 > - 3 and 2 x + 6 < 3

x > - \frac{9}{2} and x < - \frac{3}{2}

Merge Overlapping Intervals

- \frac{9}{2} < x < - \frac{3}{2}

Popular Examples

x/2-4/3 <= x/3+1

\frac{x}{2} - \frac{4}{3} \leq \frac{x}{3} + 1

factor x^4+x^2-y^4-y^2 factor

x^{4} + x^{2} - y^{4} - y^{2}

simplify 1/7+1/2 simplify

\frac{1}{7} + \frac{1}{2}

- 4 \geq (x - 7)^{2}

simplify (10j^{-3})/(-2(j^{-3))^3}simplify

\frac{10 j ^{- 3}}{- 2 ( j ^{- 3} ) ^{3}}

Frequently Asked Questions (FAQ)

What is |2x+6|<3 ?
The solution to |2x+6|<3 is -9/2 <x<-3/2