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Popular >

|6p+5|+3<17

Solution

∣ 6 p + 5 ∣ + 3 < 17

Solution

- \frac{19}{6} < p < \frac{3}{2}

+2

Interval Notation

(- \frac{19}{6}, \frac{3}{2})

Decimal Notation

- 3.16666 \dots < p < 1.5

Solution steps

∣ 6 p + 5 ∣ + 3 < 17

Move

3

to the right side

∣ 6 p + 5 ∣ < 14

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 14 < 6 p + 5 < 14

6 p + 5 > - 14 and 6 p + 5 < 14

p > - \frac{19}{6} and p < \frac{3}{2}

Merge Overlapping Intervals

- \frac{19}{6} < p < \frac{3}{2}

Popular Examples

simplify \sqrt[3]{x}^2 simplify

2 y = - 8

9 t^{2} - 6 t + 1 = 0

factor 18n^2-2 factor

18 n^{2} - 2

7(2x-1)>3(2x-2)

7 (2 x - 1) > 3 (2 x - 2)

Frequently Asked Questions (FAQ)

What is |6p+5|+3<17 ?
The solution to |6p+5|+3<17 is -19/6 <p< 3/2