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Popular >

|4x+3|<8

Solution

∣ 4 x + 3 ∣ < 8

Solution

- \frac{11}{4} < x < \frac{5}{4}

+2

Interval Notation

(- \frac{11}{4}, \frac{5}{4})

Decimal Notation

- 2.75 < x < 1.25

Solution steps

∣ 4 x + 3 ∣ < 8

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 8 < 4 x + 3 < 8

4 x + 3 > - 8 and 4 x + 3 < 8

x > - \frac{11}{4} and x < \frac{5}{4}

Merge Overlapping Intervals

- \frac{11}{4} < x < \frac{5}{4}

Popular Examples

simplify 3/6*5 simplify

\frac{3}{6} \cdot 5

factor 49x^2-9 factor

49 x^{2} - 9

factor 3x^2+23x-36 factor

3 x^{2} + 23 x - 36

3 - 2 (1 - x) \leq 2

simplify 36*7 simplify

36 \cdot 7

Frequently Asked Questions (FAQ)

What is |4x+3|<8 ?
The solution to |4x+3|<8 is -11/4 <x< 5/4