What is |10x-6|<= |2x+2| ?

The solution to |10x-6|<= |2x+2| is 1/3 <= x<= 1

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|10x-6|<= |2x+2|

∣ 10 x - 6 ∣ \leq ∣ 2 x + 2 ∣

\frac{1}{3} \leq x \leq 1

Interval Notation

[\frac{1}{3}, 1]

Decimal Notation

0.33333 \dots \leq x \leq 1

Solution steps

∣ 10 x - 6 ∣ \leq ∣ 2 x + 2 ∣

Find positive and negative intervals

x < - 1, - 1 \leq x < \frac{3}{5}, x \geq \frac{3}{5}

Solve the inequality for each interval

No Solution or \frac{1}{3} \leq x < \frac{3}{5} or \frac{3}{5} \leq x \leq 1

Merge Overlapping Intervals

\frac{1}{3} \leq x \leq 1

64 t - 16 t^{2}

(7 + 2 i)^{2}

x^{2} - 8 x + 5 = 0

1 < ∣ x - 1 ∣ \leq 3

x - 6 = - 4