What is |3x|>|6-3x| ?

The solution to |3x|>|6-3x| is x>1

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|3x|>|6-3x|

∣ 3 x ∣ > ∣ 6 - 3 x ∣

x > 1

Interval Notation

(1, \infty)

Solution steps

∣ 3 x ∣ > ∣ 6 - 3 x ∣

Find positive and negative intervals

x < 0, 0 \leq x \leq 2, x > 2

Solve the inequality for each interval

No Solution or 1 < x \leq 2 or x > 2

Merge Overlapping Intervals

x > 1

x^{2} + (x 3 + 2 x)^{2} = (43)^{2}

2 x^{2} - 11 x + 14

13 = \frac{1}{4} (2 x + 16)

\frac{5 x ^{7} y ^{2}}{5 x y ^{2}}

\frac{1}{2} - \frac{x}{4} = - \frac{1}{8}