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

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

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

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

w = - \frac{1}{16}

Decimal Notation

w = - 0.0625

Solution steps

\frac{4 w - 1}{6} = 2 \cdot \frac{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}

∣ x - 2 ∣ + ∣ x + 2 ∣ = 3

x, ∣ y ∣ + x^{2} = 1

∣ u + 2 ∣ + ∣ u - 3 ∣ = 5

x^{2} + 4 x + 3 = x + 1

∣ x - 3 ∣ + x = 7

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