What is solvefor x,|2x+1|<13 ?

The solution to solvefor x,|2x+1|<13 is -7<x<6

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Solve for x |2x+1|<13

solve for

x, ∣ 2 x + 1 ∣ < 13

- 7 < x < 6

Solution steps

∣ 2 x + 1 ∣ < 13

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 13 < 2 x + 1 < 13

2 x + 1 > - 13 and 2 x + 1 < 13

x > - 7 and x < 6

Merge Overlapping Intervals

- 7 < x < 6

x, \frac{( x - 3 )}{3} = \frac{( x + 4 )}{4}

x, x^{2} - x - 2 > 0

x, 8 x = 80

(0.25 x^{\frac{1}{4}})^{2} (12 x^{3})

3 x - 17 = - 2 x + 3