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Popular >

|4x+3|<14

Solution

∣ 4 x + 3 ∣ < 14

Solution

- \frac{17}{4} < x < \frac{11}{4}

+2

Interval Notation

(- \frac{17}{4}, \frac{11}{4})

Decimal Notation

- 4.25 < x < 2.75

Solution steps

∣ 4 x + 3 ∣ < 14

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 14 < 4 x + 3 < 14

4 x + 3 > - 14 and 4 x + 3 < 14

x > - \frac{17}{4} and x < \frac{11}{4}

Merge Overlapping Intervals

- \frac{17}{4} < x < \frac{11}{4}

Popular Examples

simplify 1/28*4/7 simplify

\frac{1}{28} \cdot \frac{4}{7}

factor a^2+10ab-39b^2 factor

a^{2} + 10 ab - 39 b^{2}

simplify ((2x^4y^0)^2)/(x^5)simplify

\frac{( 2 x ^{4} y ^{0} ) ^{2}}{x ^{5}}

factor 50a^3b-8ab factor

50 a^{3} b - 8 ab

9 s^{2} = 49

Frequently Asked Questions (FAQ)

What is |4x+3|<14 ?
The solution to |4x+3|<14 is -17/4 <x< 11/4