Solve |3x-5| |x 1|>=5

Question

Solve the inequality

x \in (- \infty, \frac{- 85 + 5}{6}] \cup [\frac{85 + 5}{6}, + \infty)

Evaluate

∣ 3 x - 5 ∣ ∣ x \times 1 ∣ \geq 5

Simplify

More Steps

∣ x (3 x - 5) ∣ \geq 5

Separate the inequality into 2 possible cases

x (3 x - 5) \geq 5 x (3 x - 5) \leq - 5

Solve the inequality for x

More Steps

x \in (- \infty, \frac{- 85 + 5}{6}] \cup [\frac{85 + 5}{6}, + \infty) x (3 x - 5) \leq - 5

Solve the inequality for x

More Steps

x \in (- \infty, \frac{- 85 + 5}{6}] \cup [\frac{85 + 5}{6}, + \infty) x \in / R

Solution

x \in (- \infty, \frac{- 85 + 5}{6}] \cup [\frac{85 + 5}{6}, + \infty)

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