Solve 5<|3k-1/4| - ScanMath

Evaluate

5 < 3 k - \frac{1}{4}

Simplify

More Steps

5 < \frac{1}{4} ∣ 12 k - 1 ∣

Swap the sides of the inequality

\frac{1}{4} ∣ 12 k - 1 ∣ > 5

Rewrite the expression

\frac{∣ 12 k - 1 ∣}{4} > 5

Multiply both sides

∣ 12 k - 1 ∣ > 20

Separate the inequality into 2 possible cases

12 k - 1 > 20 12 k - 1 < - 20

Solve the inequality for k

More Steps

k > \frac{7}{4} 12 k - 1 < - 20

Solve the inequality for k

More Steps

k > \frac{7}{4} k < - \frac{19}{12}

Solution

k \in (- \infty, - \frac{19}{12}) \cup (\frac{7}{4}, + \infty)