What is the answer to |4x-1|+|4x+5|=1 ?

The answer to |4x-1|+|4x+5|=1 is No Solution for x\in\mathbb{R}

Solve for x: |4x-1|+|4x+5|=1

The solution is No Solution for x\in\mathbb{R}

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∣ 4 x - 1 ∣ + ∣ 4 x + 5 ∣ = 1

No Solution for x \in R

Solution steps

∣ 4 x - 1 ∣ + ∣ 4 x + 5 ∣ = 1

Find positive and negative intervals

x < - \frac{5}{4}, - \frac{5}{4} \leq x < \frac{1}{4}, x \geq \frac{1}{4}

Solve the inequality for each interval

No Solution for x \in R

∣ 10 - 3 x ∣ = ∣ 5 - 2 x ∣

∣ x ∣ + 2 ∣ x + 1 ∣ - 3 ∣ x - 2 ∣ = 4

∣ 9 + x ∣ = 2

∣ x - 1 ∣ x^{2} - 2 = 2

∣ 6 x - 16 ∣ = ∣ 3 x + 13 ∣

What is the answer to |4x-1|+|4x+5|=1 ?
The answer to |4x-1|+|4x+5|=1 is No Solution for x\in\mathbb{R}
Solve for x: |4x-1|+|4x+5|=1
The solution is No Solution for x\in\mathbb{R}