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Popular >

|3x+5|<17

Solution

∣ 3 x + 5 ∣ < 17

Solution

- \frac{22}{3} < x < 4

+2

Interval Notation

(- \frac{22}{3}, 4)

Decimal Notation

- 7.33333 \dots < x < 4

Solution steps

∣ 3 x + 5 ∣ < 17

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 17 < 3 x + 5 < 17

3 x + 5 > - 17 and 3 x + 5 < 17

x > - \frac{22}{3} and x < 4

Merge Overlapping Intervals

- \frac{22}{3} < x < 4

Popular Examples

(2x-3)/2 >= (x+1)/3

\frac{2 x - 3}{2} \geq \frac{x + 1}{3}

simplify 90^2 simplify

9 0^{2}

3 t - 4 < - 62

simplify (a^2-4)/3*(5b)/(a+2)simplify

\frac{a ^{2} - 4}{3} \cdot \frac{5 b}{a + 2}

4 (25) - 92 + 3 (- 2)

Frequently Asked Questions (FAQ)

What is |3x+5|<17 ?
The solution to |3x+5|<17 is -22/3 <x<4