What is (|7-6x|)/(|6x-2|)>= 1 ?

The solution to (|7-6x|)/(|6x-2|)>= 1 is x< 1/3 \lor 1/3 <x<= 3/4

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(|7-6x|)/(|6x-2|)>= 1

\frac{∣ 7 - 6 x ∣}{∣ 6 x - 2 ∣} \geq 1

x < \frac{1}{3} or \frac{1}{3} < x \leq \frac{3}{4}

Solution steps

\frac{∣ 7 - 6 x ∣}{∣ 6 x - 2 ∣} \geq 1

Find positive and negative intervals

x < \frac{1}{3}, \frac{1}{3} \leq x \leq \frac{7}{6}, x > \frac{7}{6}

Solve the inequality for each interval

x < \frac{1}{3} or \frac{1}{3} < x \leq \frac{3}{4} or No Solution

Merge Overlapping Intervals

x < \frac{1}{3} or \frac{1}{3} < x \leq \frac{3}{4}

\frac{2}{3} + 2

5 x + 20 \geq - 10

\frac{a ^{2} + 11 a + 24}{a ^{3} + 27}

m^{8} - 7 m^{6} + 8 m^{4} + 16 m^{2}

62.5 = \frac{k}{3}

What is (|7-6x|)/(|6x-2|)>= 1 ?
The solution to (|7-6x|)/(|6x-2|)>= 1 is x< 1/3 \lor 1/3 <x<= 3/4