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Popular >

|-(2x+3)/x |<5

Solution

- \frac{2 x + 3}{x} < 5

Solution

x < - \frac{3}{7} or x > 1

+2

Interval Notation

(- \infty, - \frac{3}{7}) \cup (1, \infty)

Decimal Notation

x < - 0.42857 \dots or x > 1

Solution steps

- \frac{2 x + 3}{x} < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < - \frac{2 x + 3}{x} < 5

- \frac{2 x + 3}{x} > - 5 and - \frac{2 x + 3}{x} < 5

(x < 0 or x > 1) and (x < - \frac{3}{7} or x > 0)

Merge Overlapping Intervals

x < - \frac{3}{7} or x > 1

Popular Examples

simplify ((-2xy)^2*10x^3y^{11})/(8x^{10)y^4}simplify

\frac{( - 2 x y ) ^{2} \cdot 10 x ^{3} y ^{11}}{8 x ^{10} y ^{4}}

factor 5w^2-6w+1 factor

5 w^{2} - 6 w + 1

x + 3 = - x + 1

(8z+4)(5z+10)=0

(8 z + 4) (5 z + 10) = 0

factor 18x^3y^2w+12x^2y^3w^2-24xy^4w^3 factor

18 x^{3} y^{2} w + 12 x^{2} y^{3} w^{2} - 24 x y^{4} w^{3}

Frequently Asked Questions (FAQ)

What is |-(2x+3)/x |<5 ?
The solution to |-(2x+3)/x |<5 is x<-3/7 \lor x>1