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Popular >

|4x-3|>x+2

Solution

∣ 4 x - 3 ∣ > x + 2

Solution

x < \frac{1}{5} or x > \frac{5}{3}

+2

Interval Notation

(- \infty, \frac{1}{5}) \cup (\frac{5}{3}, \infty)

Decimal Notation

x < 0.2 or x > 1.66666 \dots

Solution steps

∣ 4 x - 3 ∣ > x + 2

Find positive and negative intervals

x < \frac{3}{4}, x \geq \frac{3}{4}

Solve the inequality for each interval

x < \frac{1}{5} or x > \frac{5}{3}

Popular Examples

5 k - 7 = - 7

14x-3>=-1\land-3(x-2)>= 2

14 x - 3 \geq - 1 and - 3 (x - 2) \geq 2

simplify (4(9)^{1/2})/9 simplify

\frac{4 ( 9 ) ^{\frac{1}{2}}}{9}

join (3pi)/4-2pi join

\frac{3 π}{4} - 2 π

x^{2} + 2 x = 3

Frequently Asked Questions (FAQ)

What is |4x-3|>x+2 ?
The solution to |4x-3|>x+2 is x< 1/5 \lor x> 5/3