What is the answer to |((4w-1))/6 |=|((2w))/3+1/4 | ?

The answer to |((4w-1))/6 |=|((2w))/3+1/4 | is w=-1/16

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|((4w-1))/6 |=|((2w))/3+1/4 |

\frac{( 4 w - 1 )}{6} = \frac{( 2 w )}{3} + \frac{1}{4}

w = - \frac{1}{16}

Solution steps

\frac{4 w - 1}{6} = \frac{2 w}{3} + \frac{1}{4}

Find positive and negative intervals

w < - \frac{3}{8}, - \frac{3}{8} \leq w < \frac{1}{4}, w \geq \frac{1}{4}

Solve the inequality for each interval

No Solution or w = - \frac{1}{16}

w = - \frac{1}{16}

∣ 2 x - 1 ∣ + x = 3

b ∣ 3 x + 6 ∣ - ∣ 2 x - 1 ∣ = 5

x^{2} - 1 = ∣ x + 3 ∣

∣ 5 u + 10 ∣ = 15 u

x^{2} - 1 = ∣ 2 x - 1 ∣

What is the answer to |((4w-1))/6 |=|((2w))/3+1/4 | ?
The answer to |((4w-1))/6 |=|((2w))/3+1/4 | is w=-1/16
Solve for w: |((4w-1))/6 |=|((2w))/3+1/4 |
The solution is w=-1/16